Question

Which is an apparent factor of the quadratic function graphed below?

A. (x-6)
B. (x-2)
C. (x+5)
D. (x-5)​

Answer 1

D. (x-5)

Explanation:

I took the test

Answer 2

We have been given a graph of a upward opening parabola. We are asked to find the factors of given parabola.

We can see from our given graph that zeros of our equation are
`x=-2` and
`x=5`.

We know that when
`x=a` is a zero of a polynomial, then
`(x-a)` is factor of the polynomial.

Let us find factors of our given function.

`x+2=-2+2`

`x+2=0`

Therefore,
`(x+2)` is a factor of our given function.

`x-5=5-5`

`x-5=0`

Therefore,
`(x-5)` is a factor of our given function and option D is the correct choice.