Question

Question 7 of 25 Which of the binomials below is a factor of this trinomial? x - 6x-16 O A. X-1 O B. X-8 OC. X-16 O D. x-2​

Answer 1

(x-8) is the factor.

Explanation:

The given trinomial is
`x^(2)-6x-16`.

We need to find the factor of this trinomial.

`x^(2)-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)`

The factors of
`x^(2)-6x-16` is (x-2) and (x-8).

So, the factor of
`x^(2)-6x-16` is (x-8). Hence, the correct option is (B).