Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
-$5 x ^ { 2 } - 30 x + 5 x ^ { 3 }$
A)5x(x + 2)(x - 3)
B) $\left( 5 x ^ { 2 } + 10 x \right) ( x - 3 )$
C) $( x - 2 ) \left( 5 x ^ { 2 } + 15 \right)$
D)5x(x - 2)(x + 3)

Question

Quizplus · Accepted Answer

First, rearrange the terms in descending order of powers of x: $5x^3 - 30x + 5x^2$. Factoring out the common factor of 5x gives $5x(x^2 - 6 + x)$, which simplifies to $5x(x^2 + x - 6)$. Factoring the quadratic $x^2 + x - 6$ gives $5x(x - 2)(x + 3)$.

Factor the Trinomial Completely 5x2−30x+5x35 x ^ { 2 } - 30 x + 5 x ^ { 3 }5x2−30x+5x3

Factor the Trinomial Completely $5 x ^ { 2 } - 30 x + 5 x ^ { 3 }$