Answer
$(3x-4)(3x-8)$
Work Step by Step
For the polynomial
$$
9x^2 - 36x +32
$$
we check the factors of $ac=9(32)=288$. The only factors that can give the right middle term are $-12$ and $-24$, as follows
$$9x^2 - 36x +32 =(3x-4)(3x-8).$$
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