Factor completely. If the polynomial cannot be factored, write "prime."
-$3 x^{3}+6 x^{2}-45 x$
A) $3 x(x+5)(x+3)$
B) $3 x(x+5)(x-3)$
C) $3 x(x-5)(x-3)$
D) $3 x(x-5)(x+3)$

Name: Factor completely. If the polynomial cannot be factored, write "prime." -$3 x^{3}+6 x^{2}-45 x$ A) $3 x(x+5)(x+3)$ B) $3 x(x+5)(x-3)$ C) $3 x(x-5)(x-3)$ D) $3 x(x-5)(x+3)$
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Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $3x$, giving $3x(x^2 + 2x - 15)$. Then, factor the quadratic to get $3x(x+5)(x-3)$.

Factor Completely 3x3+6x2−45x3 x^{3}+6 x^{2}-45 x3x3+6x2−45x A) 3x(x+5)(x+3)3 x(x+5)(x+3)3x(x+5)(x+3) B) 3x(x+5)(x−3)3 x(x+5)(x-3)3x(x+5)(x−3) C) 3x(x−5)(x−3)3 x(x-5)(x-3)3x(x−5)(x−3)

Factor Completely $3 x^{3}+6 x^{2}-45 x$ A) $3 x(x+5)(x+3)$ B) $3 x(x+5)(x-3)$ C) $3 x(x-5)(x-3)$