Question

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x-4
x-2
x+2
x+4

Answer 1

the answer is C

X+2

Explanation:

Answer 2

x+2

Explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

`x=-2`

adds 2 both sides

`x+2=-2+2\\x+2=0`

therefore

The factor is (x+2)