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QUESTION IMAGE

36x - 5x² - x³

Question

36x - 5x² - x³

Explanation:

Step1: Rearrange terms by degree

$-x^3 - 5x^2 + 36x$

Step2: Factor out $-x$

$-x(x^2 + 5x - 36)$

Step3: Factor quadratic trinomial

Find two numbers: $9$ and $-4$, since $9 \times (-4) = -36$ and $9 + (-4) = 5$.
$-x(x + 9)(x - 4)$

Answer:

$-x(x + 9)(x - 4)$