12x^4 − 20x^2+ 32x
1. Explain how you find the common factors of the variable?

2, Explain how you find the common factors of the constants?

3. What are the common factors of the expression?

1) common factors of the variable is x

2) common factors of the constants is 4

3) common factors of the expression is 4x

Solution:

Given that,

1. Explain how you find the common factors of the variable?

The variables are:

Find the factors:

Here, "x" is present in all variables

x is the greatest common factor

Thus common factors of the variable is x

2, Explain how you find the common factors of the constants?

The constants are 12, 20 and 32

Find the greatest common factor

List down factors of 12, 20 and 32

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 32 are: 1, 2, 4, 8, 16, 32

Then the greatest common factor is 4

The common factors of the constants is 4

3. What are the common factors of the expression?

Given is:

Factor out x and 4

The common factors of the expression is 4x

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.