Question

C) D) 6.7% 11.7% 13.3% In the xy-plane, the four x-intercepts of the graph of the polynomial function fare -2, 3,0, and 1. Which of the following is a factor off? A) x"-x B) x-x-2 C)) x^2 -x+6 D) x^2-4x-3 2

Answer 1

option A:
`x^2-x`

Explanation:

We are given that in xy-plane the four intercepts of the graph of the polynomial function are -2,3,0 and 1.

x=0, x=-2,x=3 and x=1

We have to find which is a factor of given polynomial in following option

x+2 , x-3 and x-1 are the factors of a polynomial

Then,multiyply all factors we get a polynomial

`x(x-1)(x+2)(x-3)=0`

`(x^2-x)(x-3)(x+2)=0`

`x^2-x` is a factor of the polynomial function

Option A :
`x^2-x` is correct option.