Factorize *
y² – 14 y +49
x2 + 3x - 40​

Answers

Answer 1

Answer:

The first term is, y2 its coefficient is 1 .

The middle term is, -14y its coefficient is -14 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49

Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is -14 .

-49 + -1 = -50

-7 + -7 = -14 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -7

y2 - 7y - 7y - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

y • (y-7)

Add up the last 2 terms, pulling out common factors :

7 • (y-7)

Step-5 : Add up the four terms of step 4 :

(y-7) • (y-7)

Which is the desired factorization

Multiplying Exponential Expressions:

1.2 Multiply (y-7) by (y-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (y-7) and the exponents are :

1 , as (y-7) is the same number as (y-7)1

and 1 , as (y-7) is the same number as (y-7)1

The product is therefore, (y-7)(1+1) = (y-7)2

Final result :

(y - 7)2

The first term is, x2 its coefficient is 1 .

The middle term is, +3x its coefficient is 3 .

The last term, "the constant", is -40

Step-1 : Multiply the coefficient of the first term by the constant 1 • -40 = -40

Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is 3 .

-40 + 1 = -39

-20 + 2 = -18

-10 + 4 = -6

-8 + 5 = -3

-5 + 8 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 8

x2 - 5x + 8x - 40

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-5)

Add up the last 2 terms, pulling out common factors :

8 • (x-5)

Step-5 : Add up the four terms of step 4 :

(x+8) • (x-5)

Which is the desired factorization

Final result :

(x + 8) • (x - 5)


Related Questions

1. Why did Europeans want to fi nd a way across
the North American continent?
2. What countries were most interested in
exploring the West and why?
3. Why was Thomas Jefferson eager to claim
new land for the United States?
4. What was the main purpose of the Corps of
Discovery’s expedition?
5. What was one of the most important contributions made by Sacagawea to the success of the
Corps of Discovery’s expedition?
6. Describe the areas in Montana explored by the
Corps of Discovery, François Larocque, and
David Thompson.
7. What was the primary information given by
early explorers that brought more people to
the western lands?
Describe some of the navigational instruments
used by explorers in the early 1800s.
CRITICAL THINKING
1. How was the Corps of Discovery unlike other
expeditions into the western lands?
2. Compare (and contrast) the relationship the
Lewis and Clark Expedition had with the
Indian tribes they encountered and the
relationships other explorers had with Indians.
What do you think accounts for the similarities
and differences?
3. The men of the Corps of Discovery had
believed the Rocky Mountains to be similar
to the Appalachian Mountains of the eastern
United States. How do you think they felt
when they realized this was a far different kind
of mountain range? How do you think it made
them feel about the return trip?
4. The Corps of Discovery stayed close together
throughout their westward journey. On the return journey through Montana, however, they
separated into three small groups. Why do you
think they did this, and was it a wise decision?

Answers

because north america was very suitable for settelment and production

How did Islam spread throughout North and West Africa?​

Answers

Answer:

Slavery

Explanation:

Answer:

C on edge

Explanation:

I’m sorry y’all I’m a bit slow but I need this answered ASAP it’s due tmr .

Answers

Answer:

DD......

Explanation:

Give him brainliest

According to the passage, an eon
A. Is shorter than an age.
B. Is longer than a era.
C. Always lasts 2 billion years.
D. Must contain at least four epochs.
QUICKK

Answers

The answer is B. Hope this helped! <3

What was the impact of Augustus government spending on Rome?

Answers

Answer:Augustus reorganized Roman life throughout the empire. He passed laws to encourage marital stability and renew religious practices. He instituted a system of taxation and a census while also expanding the network of Roman roads.

Explanation:Oh and i found this on google and i found flash cards for you just look up your question and it will be there :)

Roman life was restructured under Augustus throughout the empire. He enacted legislation to promote stable marriages and revive religious customs. He expanded the Roman road system and put in place a revenue and census system.

What is Augustus government?

When Augustus, Julius Caesar's adopted son, seized power in 27 BCE, the Roman Republic became the Roman Empire. Augustus created an authoritarian system of government in which he served as the sole administrator and the ultimate arbiter of all important disputes.

He passed laws to encourage happy marriages and restore religious practices. He established a tax and census system and developed the Roman road network. In Rome, he established a permanent police force, fire department, and postal system.

He also acquired tribune authority for all time. Prior to then, he had accepted some tribune rights. One of the many helpful advantages of the vast amount of power he suddenly possessed was the chance to call the Senate.

Thus, Roman life was restructured under Augustus throughout the empire.

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Government spending influences the economy by: A. influencing the brands of products the country is allowed to produce OB. deciding on the prices for goods available to consumers. o C. setting the salaries for employees in all private industries D. determining which government programs get the most funding​

Answers

Answer:

d. determining which government programs get the most funding

Explanation:

just took the test

why was the first amendment included in the bill of rights?

a) it established the united states as a christian nation

b) it revealed the way governments must act to protect natural, inalienable rights

c) it declared that all people have natural rights, including women and slaves

d) it enumerated rights that the people felt were taken from them under british rule

Answers

Answer:

d) It enumerated rights that the people felt were taken from them under British rule.

Explanation:

The First Amendment protects five freedoms that were persecuted under the British system.

I took the test TWICE lol because the other answer was wrong alone with some others

The first amendment included in the bill of rights was it enumerated rights that the people felt were taken from them under British rule. The correct option is (d).

What do you mean by the bill of rights?

A Bill of Rights is a written enumeration of citizens' rights that is typically included in a nation's constitution.

The first ten Amendments to the Constitution are known as the Bill of Rights. It outlines the rights of Americans in regard to their government.

Individuals are given civil rights and liberties like freedom of speech, of the press, and of religion. All of the powers not granted to the Federal Government are reserved for the people or the States, and it establishes guidelines for due process of law.

Therefore, the  first amendment included in the bill of rights was it enumerated rights that the people felt were taken from them under British rule.

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The map shows ancient and modern cities in the Indian subcontinent. A map titled Ancient and Modern Cities on the Indian Subcontinent. A key shows Ancient Indian civilizations with yellow dots and Modern Indian cities with purple dots. There are groups of yellow dots near the western coast and along rivers in the western region. The modern Indian cities of Mumbai and Chennai are along the coastline with Kolkata and New Delhi near rivers. How do the locations of modern cities on the Indian subcontinent compare to the locations of ancient cities? Both are located on inland plains. Both are located along water sources. Both are located along the Bay of Bengal. Both are located far from the Ganges River.

Answers

Answer:

It is B. Both are located along water sources.

Explanation:

hope this helps! :)

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Explanation:

9. Why does the executive branch have agencies such as the FBI and the EPA? [1 point) Oto judge questions of national law Oto punish people for breaking laws O to support the passage of certain laws Oto carry out efforts to enforce the law

10. When the Constitution was written, which citizens had the right to vote? (7 point) Ofree African American males Owhite married females O white male property owners Omarried African American women Finish Cancel​

please help me

Answers

D and then C I did the quiz before

The answer is D

Your welcome

What does caste system mean?

Answers

The caste system divides Hindus into four main categories - Brahmins, Kshatriyas, Vaishyas and the Shudras. Many believe that the groups originated from Brahma, the Hindu God of creation.

I got this off google but I hope it helps

Answer:

Explanation:

The rigid Hindu system of hereditary social distinctions based on castes. i think this is what it means i am not to sure

What is one of the major roles appellate courts play in the federal judiciary

Answers

The 94 federal judicial districts are organized into 12 regional circuits, each of which has a court of appeals. The appellate court's task is to determine whether or not the law was applied correctly in the trial court. Appeals courts consist of three judges and do not use a jury.

hope this helped <3

Answer: The appellate court's task is to determine whether or not the law was applied correctly in the trial court.

Explanation:

Which is an example of xenophobia?
A. Elia is afraid of people who look different from her.
B. Aurora is always afraid of mispronouncing new vocabulary words in her French class.
C. Mickey is afraid of eating hot dogs that are sold in a park.
D. George is afraid that he will not do well in school.

A pe x Answer: A​

Answers

Answer:

A

Explanation:

dislike of or prejudice against people from other countries.

An example of xenophobia: Elia is afraid of people who look different from her. Therefore, option (A) is correct.

What is xenophobia?

Xenophobia refers to an intense fear, hatred, or dislike of people from other countries or cultures. It is an irrational or unreasonable fear or dislike of people who are perceived as different or foreign, and it often leads to discriminatory attitudes and behavior towards individuals or groups.

Xenophobia can manifest itself in a variety of ways, including social exclusion, discrimination, hate speech, and violence. It is a serious issue that can have negative impacts on individuals, communities, and society as a whole, and it is often rooted in ignorance, stereotypes, and prejudice.

Elia is afraid of people who look different from her is an example of xenophobia. Thus, option (A) is correct.

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What was one of the weaknesses of the United States government under the Articles of Confederation?

1-Small states did not have independence
2-The large states had also done it. many votes
3-The Supreme Court has too much power
4-Congress cannot collect taxes

Answers

Answer:

4

Explanation:

The articles didn't have the power to regulate or give taxes.

How can a couple overcome the typical transitions of married life to keep a successful marriage?

Answers

If you press alt f4 irl it solves your problems that’s how

How did Louis XVIII's form of government differ from the previous monarchy?

Answers

Answer:

Answer in explanation ↓

Explanation:

Louis XVIII ruled as king for about if not less than a decade. The government of the Bourbon Restoration was a constitutional monarchy, being different to the Ancien Régime, which was absolutist. As a constitutional monarch, Louis XVIII's royal prerogative was reduced substantially by the Charter of 1814, France's new constitution.

hope this helped ((((: if it did then plz mark brainliest have a nice day d:

Under the Articles of Confederation, Congress had no power to tax. How
did this weaken the national government?
A Congress had no way to borrow money.
B Congress was unable to settle disputes between
C Congress was unable to issue money because it had no income.
D It made the national government dependent on the states for money.

Answers

Answer:

the answer is d. please try

The Monroe Doctrine declared that the United States would

Answers

Answer: that the United States would not tolerate further colonization or puppet monarchs

Explanation:

Answer:

The Monroe Doctrine was the declaration by President James Monroe, in December 1823, that the United States would not tolerate a European nation colonizing an independent nation in North or South America. The United States warned it would consider any such intervention in the Western Hemisphere to be a hostile act.

Explanation:

hope that helps brainly plz

Which of the following statements accurately describes one
difference between the
early Aborigines and Maori?
A. The Maori had chiefs, the Aborigines did not,
B. The Maori were hunter-gatherers, the Aborigines were farmers.
C. The Maori were nomadic, the Aborigines lived in settlements.
D. The Maori lived in Australia, the Aborigines lived in New Zealand

Answers

Answer:

its a

Explanation:

Answer:

its d

Explanation:

i did the test and i got the right answer

How did industrialization change the face of cities?

Answers

Answer:

With industrialization came more jobs, urban renewal, better sanitation, and entertainment, but it also created slum conditions and higher crime rates.

Explanation:

Select the correct answer. Which question would best support a reader's analysis of the image with the text? A. How did the author acquire this photograph? B. Why did the author choose this photograph? C. What causes echoes in canyons? D. What is the length of the Grand Canyon?​

Answers

Answer:

b

Explanation:

Answer:

B. Why did the author choose this photograph?

Explanation:

what were africa's main exports?

Answers

Answer:

Palm oil.Gold and diamonds.Oil.Cocoa.Timber.Precious metals.

- Economy Watch

Brainliest Please!!

What role does the Protozoa play in this food chain

Answers

Answer:

By Digesting other organisms.

Explanation:

Why did the Erie Canal help New York City status as a port

Answers

Ans: The completion of the Erie Canal spurred the first great westward movement of American settlers, gave access to the rich land and resources west of the Appalachians and made New York the preeminent commercial city in the United States.

Answer:

B

Explanation:

The reserve requirement requires:
a
the Federal Reserve to set the interest rate for short-term loans
b
the federal government to insure all bank deposits of up to $250,000
c
the Federal Reserve to hold a minimum amount of gold and precious metals
d
the Treasury Department to reserve a portion of U.S. currency in the event of a national emergency
e
banks to have a certain amount of money on hand to make sure they have cash to cover withdrawals

Answers

Answer:

E

Explanation:

it should be E definitely

Read the excerpt from Marbury v. Madison below.
If two laws conflict with each other, the Court must decide on the operation of each.... [T]he Constitution..
must govern the case to which they both apply.
The excerpt describes
the principle of judicial review.
the balance of power between branches.
the system of checks and balances.
the limitations of the Supreme Court's power.

Answers

Answer:

A.

Explanation:

From the statement the Judicial review is the principle that is being talked about if two laws conflict.

What is Judicial review?

The Judicial review is a review that is done by the Judiciary in order to check the laws that by the legislative arm of the government.

The review is expected to come into play in a situation where two different laws are conflicting.

Read more on judicial reviews here:

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Why does Patrick Henry think the colonist are strong? PLEASE HELPPP

Answers

Answer:

Patrick Henry thinks that the colonists are strong because they have several advantages over the British. Most importantly, they have three million people willing to fight for their own liberty. This drive will push them to fight harder, longer, and better than their foes.

Explanation:

Answer: Patrick Henry thinks that the colonists are strong because they have several advantages over the British. They also have 3 million people willing to fight for their own liberty.

Explanation:

answer the following correctly

Answers

Answer:

31. Massachussetts

32. Georgia

Explanation:

If you have a map, then you'll be able to see how Massachussetts had mayority of Northern territory and Georgia is the furthest south.  

PLEASE HELP!!!!!!!!!!!!!!
The post-1949 Chinese history was always characterized by a tension between two competing views of revolution. One focused on the attainment of “material progress,” while the other focused on “the moral pursuit of egalitarian justice and proletarian virtues.” The main advocate for the former was Deng Xiaoping, while the main advocate for the latter was Mao Zedong. Write a short essay in which you discuss the usefulness of this redness/expertise dichotomy for understanding post-1949 China.

Answers

Answer:

Explanation:

When analyzed as history, the Mao Zedong era (1949–1978) looks different than it did when scrutinized by social scientists. Ever since the founding of the People’s Republic, contemporary observers have identified an underlying reality at odds with the goals and policies pursued by top leaders in Beijing. That underlying reality, scholars found, was characterized by conflict, tension, and variation. Factionalism divided bureaucratic institutions; mass campaigns failed to achieve their aims; local officials subverted policies; groups pursued their own interests. In other words, state control was not always total or centralized but at times appeared limited and tenuous.

Charlie gets in line to vote. It’s 1968 and he is 18 years old. When he gets to the front of the line, he is denied and told he should go home because he can’t vote. Are his rights being violated? Why or why not?

Answers

Answer:

Yes they are.

Explanation:

What factors caused the Greeks to be known as reliable navigators​

Answers

At any one time in the year at any one point on the globe, the sun and stars are found above the horizon at certain fixed heights at a distance that mariners can measure with as simple an instrument as one's fingers, laid horizontally atop one another and held at arm's length.

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