Factor using the ac-method.
-$36-13 x+x^{2}$
A) $(x-4)(x-9)$
B) $(x-4)(x+9)$
C) $(x+4)(x+9)$
D) $(x+4)(x-9)$

Name: Factor using the ac-method. -$36-13 x+x^{2}$ A) $(x-4)(x-9)$ B) $(x-4)(x+9)$ C) $(x+4)(x+9)$ D) $(x+4)(x-9)$
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Question

Quizplus · Accepted Answer

The correct factorization of $36-13x+x^2$ is $(x-4)(x-9)$. This is found by rearranging the equation to $x^2-13x+36$ and then finding two numbers that multiply to 36 and add to -13, which are -4 and -9.

Factor Using the Ac-Method 36−13x+x236-13 x+x^{2}36−13x+x2 A) (x−4)(x−9)(x-4)(x-9)(x−4)(x−9) B) (x−4)(x+9)(x-4)(x+9)(x−4)(x+9) C) (x+4)(x+9)(x+4)(x+9)(x+4)(x+9) D) (x+4)(x−9)(x+4)(x-9)(x+4)(x−9)

Factor Using the Ac-Method $36-13 x+x^{2}$ A) $(x-4)(x-9)$ B) $(x-4)(x+9)$ C) $(x+4)(x+9)$ D) $(x+4)(x-9)$