is (x-2) a factor of f(x)=x^3 -8x^2+14x-4?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Use synthetic division

2 | 1 -8  14 -4

____2 -12_4__

    1 -6   2 | 0

Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.


Related Questions

Calculate the hollow conducting cylinder with an inner diameter a= 10 mm and outer diameter b= 18 mm. The height of the cylinder is 35 mm. Find the volume of cylinder.

Answers

Answer:

1960 π

Step-by-step explanation:

If R is the outer radius and r the inner radius of a hollow cylinder of height h, then volume of cylinder = π (R² - r²)h

Here R = 18/2 = 9

and r= 10/2 =5

Volume = π (9² - 5²) . 35 =  π x 56 x 35 = 1960 π

James uses of a cup of sugar in his cookies, and Jade uses of a cup of sugar in her cookies. Noel takes the sum of the two amounts of sugar and divides it into two equal portions, planning to use only one portion of it in his cookies. How much sugar does Noel use in his cookies?

Answers

Answer:

5/8 of a cup

Step-by-step explanation:

please help please please help

Answers

Answer:

The answer is the first option because 2÷2=1 and 10÷2=5

To multiply 64 • 8.32, use the logarithmic equation:

1) log 72.32


2) log 64 + log 8.32


3) antilog 64 + antilog 8.32


4) (log 64)(log 8.32)

Answers

To multiply 64 • 8.32, use the logarithmic equation (2)  log 64 + log 8.32

How to determine the equivalent equation?

The product is given as:

64  * 8.32

As a general rule, the product of a and b can be calculated using:

a * b = antilog(log(a) +log(b))

This means that:

64  * 8.32 = antilog(log(64) +log(8.32))

Hence, we make use of the logarithmic equation (2)  log 64 + log 8.32

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Anyone can help please

Answers

I don’t know if I’m seeing the whole problem but what I can say is
x = < 3 because it’s vertical.
x = < 4 because it’s corresponding angles.
x = < 7 because it’s Alt. Exterior

Find the volume of the cylinder.
Either enter an exact answer in terms of TT or use 3.14 for T.
6
units3

Answers

Answer :

Volume is 471 unit^3

Step-by-step explanation :

Here we have been given with the radius and height of a cylinder that is 5 unit and 6 unit respectively. We need to calculate the volume of cylinder so we would be using its formula. V = πr^2h

Here,

h is heightr is radius

We have :

r = 5 h = 6

Substituting the values :

>> V = 3.14 × (5)^2 × 6

>> V = 3.14 × (5 × 5) × 6

>> V = 3.14 × 25 × 6

>> V = 3.14 × 150

>> V = 471

Volume of cylinder = 471 units .

Denise made 9 identical bags using 4 yards of fabric. How much fabric did denise use for each bag

Answers

Answer:

36

Step-by-step explanation:

you do 4×9 = 36

she used 36 for each bag

During Year 1, Hardy Merchandising Company purchased $40,000 of inventory on account. Hardy sold inventory on account that cost $24,500 for $38,000. Cash payments on accounts payable were $22,000. There was $26,000 cash collected from accounts receivable. Hardy also paid $5,100 cash for operating expenses. Assume that Hardy started the accounting period with $20,000 in both cash and common stock.

Answers

Answer:

Step-by-step explanation:

-40,000

+24500

+38000

+22000

+26000

-5,100

total gain =65000

Why should a person care about his or her credit report?

Answers

Answer:

Checking your credit history and credit scores can help you better understand your current credit position. Regularly checking your credit reports can help you be more aware of what lenders may see. Checking your credit reports can also help you detect any inaccurate or incomplete information.

Step-by-step explanation:

hope this helps if not let me know have a blessed day

The turtle’s distance from his starting point is increasing between
seconds.



The turtle’s distance from his starting point is constant between
seconds.



The turtle’s distance from his starting point is decreasing between
seconds.

Answers

Answer:

Option A is the correct option

Answer:1) 0-6, 2)6-8, 3)8-12

Step-by-step explanation:

PLEASE HELP IF I DONT DO THIS
TOMORROW I DONT GRADUATE

Next we will draw in each deviation from the mean.
Now, think about the average size (length) of all of those deviations, and use this as an estimate for the size of the
Standard Deviation. Don't worry about whether the deviation is to the left or right of the mean. Just consider all of
the lengths. Draw the length of the standard deviation below.

Answers

The standard deviation is a measure of a collection of values' variance or dispersion. The standard deviation of the below graph can be drawn as shown below.

What is a standard deviation?

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

The standard deviation of the below graph can be drawn as shown below.

Learn more about Standard Deviation:

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Please help me answer this question please...

Answers

answer is here about stem and leaf

Please Help! Brainliest is available to the best Answer!

Which of the following correlation coefficients best represent the given scatter plot

Answers

Answer:

C

Step-by-step explanation:

Evaluating the options :

a : 0.01

Not the likely option because it is very close to 0, indicating there is no correlrationBut from the graph we understand there is a positive correlation

So, it comes down to :

(b) 0.51 or (c) 0.98

If we try and plot a line of best fit, we will obtain a line that passes through the origin and seems similar to y = x.

Hence, the best option is C

Find sin 2x if cos x=-2/3 and x is in quadrant 2

Answers

Answer:

-4√5/9.

Step-by-step explanation:

if cos x = -2/3 then sin x = √(1 - (-2/3)^2)

= √(5/9)

= √5/3.

(As x is in quadrant 2 sin x is positive).

So:

sin2x = 2 sin x cos x

         = 2 * √5/3 * -2/3

          =  -4/3 * √5/3

          =  -4√5/9.

Give me the right answer this time pls ♥️.

Answers

Answer:

10 and please:

please see photo for detailed analysis

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

D) infinitely many solutions

why x^2=16 and x^2=-16 do not have the same solution

Answers

Step-by-step explanation:

x^2 = 16

x = ±4

x^2 = -16

x = -

as a negative number cannot be squareroot


The length of each of the two congruent sides of an isosceles triangle
is 2n +7 and the length of the third side is 3n

Draw and label the isosceles triangle.

Answers

Answer:

To find the perimeter you add the length of all sides.

1). 2n + 7 + 2n + 7 + 3n = perimeter

2). 2(2n + 7) + 3n = perimeter

Step-by-step explanation:

Hope this helps!! :)

use the figure to answe the question

Answers

Step-by-step explanation:

Where is the Question?

Can't answer without question

seth claims that the equation h(x) = 3coz (pi/4(x - 2)) + 3 will model the behavior of a rocking chair just as well as g(x) = 3sin (pi/4x)+3. Use a graphic utility to determine if Seth was correct

A. Yes

B. No

Answers

Answer:

yes

Step-by-step explanation:

I just took the assignment and got a 100%

A farmer planted five rows of banana trees. Each row had six trees. His goat ate eight of the flowers. How many trees were left?​

Answers

Answer:

Step-by-step explanation:

if his goat ate 8 flowers why is it asking how many trees?

PLSS HELPPP: A water cooler holds 18 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters

Answers

Answer:

4.75561426684

Step-by-step explanation:

Use websites that are calculators

Find the range of the data set 145, 612, 120, 349, 515, 212, 590.

Answers

Answer:

The biggest - the smallest

612-120=492

Answer:

612 - 120=492

Step-by-step explanation:

to find the range the formula is to list the data set from smallest to largest, then subtract the smallest from the largest. 120, 145, 212, 349, 515, 590, 612= 612 - 120= 492

In "The Emperor's New Clothes" what does the opening tell you about the narrator?
A. second person narrator
B. third person narrator
C. no narrator

Answers

Answer:

third person

Step-by-step explanation:

Which of the following integers is least?

A
-5 + (-2)

B
-5 ÷ (-2)

C
-5 × (-2)

D
-5

Answers

Answer:

A) -7 is the least

Step-by-step explanation:

A)  (-5) + (-2) = (-7)

If two numbers have same sign, add and the result will have the common sign.

b) (-5) ÷ (-2) = 2.5

In division negative number divided by another negative number will give a positive number.

c) (-5)*(-2) = 10

In multiplication multiplication of two negative numbers will give a positive number.

d) = -5

In these (-7) is the least integer

Part A: Which polynomial below is a fourth-degree polynomial in standard form? Explain how you know it is a fourth-degree polynomial and how do you know it’s in standard form.

(Image Below)

Part B: Explain the closure property as it relates to polynomials and give an example.

Answers

In the given question, all the equations are fourth degree polynomial because they all have the highest power of 4

What is degree of polynomial?

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

In the given question, all the equation are fourth degree polynomial

2x^3 -3x^2 + 1 + 5x^45x^4 + 2x^3 -3x^2 + 1-3x^2 + 1 + 5x^4 + 2x^31 - 3x^2 + 2x^3 + 5x^4

What closure property relates here is that when we add two different polynomial, the result will definitely be a polynomial.

Learn more on degree of polynomial here;

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convert 1/5 to it's equivalent decimal and percent

Answers

It will be 0.2 as a decimal. it will be 20% as a percentage
Answer:
Decimal: 0.2
Percentage: 20%

i. 2/5 + 1/2 - 1/10. ​

Answers

The answer is 0.8-

2/5=.4

1.2=.5

1/10=.1

Answer: 4/5
Decimal: 0.8

Help please!!! Thanks!

Answers

A because when you see a + sign it means add to do it would be going up not down

Look at the image below. Find the area of the parallelogram.

Answers

Answer:120square unit

Step-by-step explanation:khan

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