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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

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Answer:

option A:[tex]x^2-x[/tex]

Step-by-step 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

[tex]x(x-1)(x+2)(x-3)=0[/tex]

[tex](x^2-x)(x-3)(x+2)=0[/tex]

[tex]x^2-x[/tex] is  a factor of the polynomial function

Option A :[tex]x^2-x[/tex] is correct option.

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