What is the degree of polynomial?
With example!​

Answers

Answer 1

Answer:

[tex]\boxed{\mathfrak{Question ~}}[/tex]

What is the degree of polynomial?

[tex]\large\boxed{\mathfrak{Answer}}[/tex]

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

[tex] {6x}^{4} + {2x}^{3} + 3[/tex]

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

Answer 2

Answer:

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)


Related Questions

ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.

Answers

Answer:

=32

Step-by-step explanation:

the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)

Which of the following is a true statement?
A. A number is divisible by two and three if the number ends in a 0, 2, 4, 6, or 8.
B. A number is divisible by three and nine if the sum of the digits is divisible by three.
C. A number is divisible by nine if the last two digits are divisibly by nine.
D. A number is divisible by six if the number is divisible by both two and three.

Answers

"Mr. Bombastic, tell me fantastic. Touch me
na me back. She says I'm mister r00000-
mantic, call me fantastic. Touch me na me
back. She says I'm Mr. Ro- Smooooth" - Biggie
Cheese

Are the equations m+3=-5 and m-4=-12$ equivalent?

Answers

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

Answer: yes, because they both equal x= -8

Step-by-step explanation:

m= -5 -3

calculate

= -8

m= -12+4

calculate

m= - 8

Elizabeth took out a 3year loan to buy a car at 4.4% simple interest rate. If she initially borrowed $1,400 how much interest will she have to pay

Answers

Answer:

is 61.6 on there? because if so I believe it's that

PLZ SOMEONE HELP ME
NO LINKS PLz

Answers

Answer:

-11[tex]\leq[/tex]x[tex]\leq[/tex]8

Step-by-step explanation:

The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.

A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?

Answers

Answer:

17.25

Step-by-step explanation:

Annette measured pepper plant sprouts and recorded the following lengths in
inches:
1/3 .0.75, 1/4 .0.5
If Annette ordered the lengths from least to greatest, which one would come
second?


Answer pls❤️‍❤️‍❤️‍

Answers

Answer:

Ask with your teacher.not to me

Answer:

1/4 , 1/3 , 0.5 , 0.75

Step-by-step explanation:

1 - Convert all numbers into fractions.

1/3 , 3/4 , 1/4 , 1/2

2 - Find the greatest common factor and apply it to all.

4/12, 9/12, 3/12, 6/12

3 - Order all into least to greatest.

3/12 , 4/12 , 6/12 , 9/12

4 - Convert back to normal forms.

1/4 , 1/3 , 0.5 , 0.75

Brainliest would be appreaciated! :-)

Tisha scored an average of 18 points in each of her first five basktetball
games. Altogether, how many points did she score in her first five
games?

Answers

Answer:

90 pts.

Step-by-step explanation:

In general, you need to multiply the average points she got in each game by how many games she played.

So therefore you'd do:

18 x 5

= 90 pts.

Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help

Answers

Answer:

x=3 and x=-1

Step-by-step explanation:

If f(x)=g(x), then 2x+3=x^2:

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

We can conclude that the statement:

There are values of x for which f(x) = g(x)" is true.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,

We can substitute the expressions for f(x) and g(x) into the equation and simplify:

f(x) = g(x)

2x + 3 = x^2

Now we have a quadratic equation.

We can rearrange it to standard form and solve for x using the quadratic formula:

x² - 2x - 3 = 0

a = 1, b = -2, c = -3

x = (-b ± √(b² - 4ac)) / 2a

x = (2 ± √(16)) / 2

x = (2 ± 4) / 2

x = -1 or x = 3

Therefore,

The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.

Thus,

Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

What is the quotient? StartFraction 3 y 2 Over 3 y EndFraction divided by StartFraction 6 y squared 4 y Over 3 y 2 EndFraction StartFraction 1 Over 2 y EnDfraction StartFraction 3 y 2 Over 6 y squared EndFraction StartFraction 1 Over y EndFraction StartFraction 2 (3 y 2) Over 3 EndFraction.

Answers

The quotient of the expression is [tex]\frac{1}{2y}[/tex]

The expression is given as:

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2}[/tex]

Divide 3y^2 by 3y

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \div \frac{6y^4}{3y^2}[/tex]

Rewrite the equation as a product

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{3y^2}{6y^4}[/tex]

Divide 6 by 3

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{y^2}{2y^4}[/tex]

Multiply y and y^2

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{y^3}{2y^4}[/tex]

Divide y^3 by y^4

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{1}{2y}[/tex]

Hence, the quotient of the expression is [tex]\frac{1}{2y}[/tex]

Read more about quotients at:

https://brainly.com/question/12217706

Answer:

its B

Step-by-step explanation:

In a right isosceles triangle, the length of both legs are equal. For the given isosceles triangle, what is the value of X

Answers

Answer:

x=6

Step-by-step explanation

So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.

If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.

Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!

You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

Answers

Answer:

You:If it’s was 6 cups of citric I’d be to 32 water

Your friend: if it was 4 cups it’d be 12 water

Step-by-step explanation:

I believe your friends is more acidic because your Is being diluted more

please help me!


ty :)

Answers

Answer:

y-2 = 5(x-3)

Step-by-step explanation:

-

Hope that helps

6x2 + 108x + 707 = 5

Answers

Answer:

[tex]x=-9\pm6i[/tex]

Step-by-step explanation:

[tex]6x^2+108x+707=5[/tex]

[tex]6x^2+108x+702=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-108\pm\sqrt{(108)^2-4(6)(702)}}{2(6)}[/tex]

[tex]x=\frac{-108\pm\sqrt{-5184}}{12}[/tex]

[tex]x=\frac{-108\pm72i}{12}[/tex]

[tex]x=-9\pm6i[/tex]

8% of 60 is half of what number

Answers

Answer:

9.6

Step-by-step explanation:

8% of 60 is 4.8

4.8 is half of 9.6

hope this helps! :D

have a miraculous day!! <3

Answer:

9.6

Step-by-step explanation:

8% of 60 is equal to 4.8

To find what 4.8 is half of, multiply 4.8 by 2

4.8 times 2 equals 9.6

SOS, I really need help! I accidentally slept in.​

Answers

Dynamite blue fire red grape purple

Please graph as this coordinate plane is. Thank you

Answers

Answer:

hope this helps :)

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

I assume the problem is to graph the lines.  The easiest is to pick two values of x and calculate y for each line.  For example:

21.  y = -4x + 5  I'll randomly choose vales of 1 and 2 for x and calculate y:

(1, 1)  and   (2, -3)

Now mark those two points and draw a straight line through them.  It is an equation of a straight line, so we know this will be correct.

22.  Same process:

(1,6) and (2,7)

23.  (1,0) and (2,-3)

24.  (1,-4) and (2,-6)

=====================

These are shown in the attachment.  What's also shown is the second method of producing the lines:  Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.

14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55

Answers

Answer:

The second one or B

Step-by-step explanation:

1/4 = 0.25 then 0.55 then 79% = 0.79

Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

The percent error of the measurement, to the nearest tenth of a percent is 3.9%

Given:

Length measured = 12.2 inches

Actual length = 12.7 inches

Error = Actual length - Length measured

= 12.7 - 12.2

= 0.5

Percentage error = error / actual value × 100

= 0.5/12.7 × 100

= 0.039370078740157 × 100

= 3.937%

Approximately,

Percentage error = 3.9%

Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%

Learn more about percentage error:

https://brainly.com/question/5493941

solve the following quadratic equation
2×2-x=21​

Answers

[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]

Answer:

x1=7/4, x2=-3

Step-by-step explanation:

[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]

The line 2x + 3y = 8 meets the curve 2x^2 + 3y^2 =110 at the points A and B. Find the coordinates of A and B.

extra: This is the first time I’ve seen this type of question without a diagram. Pls help!

Answers

Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).

Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)

Substitute (3) into (2),

2 [(8 - 3y) / 2]² + 3y² = 110

(8 - 3y)² + 3y² = 220

15y² - 48y - 156 = 0

Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8

OR y = -2, then x = [8 - 3×(-2)] / 2 = 7

Answer:

The coordinates are A. (-3.8, 5.2) and B. (7, -2).

Step-by-step explanation:

At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:

2x^2 + 3y^2 = 110

2x + 3y = 8

From the above equation

x = (8 - 3y)/2

So substituting for x in the first equation:

2 [(8-3y)/2]^2 + 3y^2 = 110

(8-3y)^2 / 2 + 3y^2 = 110

Multiply through by 2:

(8 - 3y)^2 + 6y^2 = 220

64 + 9y^2 - 48y + 6y^2 - 220 = 0

15y^2 - 48y - 156 = 0

3(5y^2 - 16y - 52) = 0

(5y - 26)(y + 2) = 0

y = 26/5, 2

y = 5.2,  -2.

So substituting in 2x + 3y = 8

When y = -2:

2x - 6 = 8

2x = 14

x = 7.

When y = 5.2

2x + 3(5.2) = 8

2x = 8 - 15.6 = -7.6

x = -3.8.

Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.

Answers

Answer:

-13

Step-by-step explanation:

negative 13 = -13

1 point
4.) Tom's goal is to save an average of $55 a week for six weeks. For the
first five weeks he saved 45, 60, 25, 50, 55. What is the smallest amount he
can save in week 6 to meet his goal?
80
55
95
65

Answers

The answer to the question is $95

Hey y’all pls help me ASAP :)

Answers

Answer:

m + 8 ≥ -8

Step-by-step explanation:

Answer:

m+8≥-8

Step-by-step explanation:

Just ask.

Hope this helps!



8. Phil received a commission of 5% on
the sale of a house. If the amount of
his commission was $4780, what was
the selling price of the house?

What’s the answer

Answers

Answer:

$95,600

Step-by-step explanation:

the question can be rephrased as '4780 is five percent of what number'?

we can use the ratio of 'is/over' = %/100 to solve

'is' = 4780

'of' = selling price of house ('p')

4780/p = 5/100

now cross-multiply:

5p = 478000

p = 95600

Help please!!
Question in picture!

Answers

x = 3y = 2Here, we have to multiply x by 4 and add it to six times y.Therefore, the expression will look like this:4x + 6yNow, put the values of x and y in the expression, we get4 (3) + 6 (2)= 12 + 12= 24

Answer:

4x + 6y, 24

Hope you could get an idea from here.

Doubt clarification - use comment section.

She is right or heeeee

THE WHOLE THING ALL OF IT PLEASE I WILL MAKE U BRAINLIEST!!

Answers

Answer:

3x+8=17                                  2x+8=2(x+4)                         x+4=x-4

3x=17-8                                    2x+8=2x+8                          No solution

3x/3=9/3                                  All Real numbers

x= 3                                                

infinitely many solution

Q2) It means this equation  has no answer to it and no solution

Q3)  x+ 4=x-4 has no solution

Q4) It means that it has many answers to it and many steps to it to get the answer

Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by

Pls help fast i need this done
-Angle ACB is bigger than angle GDE
-Angle ACB is smaller than angle GDE
-Angle ACB is the same size as angle GDE
-There isn't enough information to decide

Answers

Answer : -Angle ACB is the same size as angle GDE

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby eucalyptus tree is 20 feet long. Write and solve a proportion to find the height of the tree.

Answers

Answer:

25 feet long

Step-by-step explanation:

this is because the ratio is 4:5

so if one side is 20 then the other side must be in proportion to 4:5

multiply both sides by 5 and u get 20:25

hope that helps

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