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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​

Sagot :

Answer:

(x-8) is the factor.

Step-by-step explanation:

The given trinomial is [tex]x^{2}-6x-16[/tex].

We need to find the factor of this trinomial.

[tex]x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)[/tex]

The factors of [tex]x^{2}-6x-16[/tex] is (x-2) and (x-8).

So, the factor of [tex]x^{2}-6x-16[/tex] is (x-8). Hence, the correct option is (B).

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