Factor the polynomial completely. $2 n ^ { 3 } + 6 n ^ { 2 } + 8 n$
A) $2 \left( n ^ { 2 } + 1 \right) ( n + 4 )$
B) $2 ( n + 1 ) ( n + 4 )$
C) $2 n \left( n ^ { 2 } + 3 n + 4 \right)$
D) $2 n \left( n ^ { 2 } - 3 n + 4 \right)$
E) not factorable

Question

Quizplus · Accepted Answer

Take out the greatest common factor of $2n$, which leaves $n^{2}+3n+4$. This trinomial cannot be factored further with real coefficients, so the final answer is $2n(n^{2}+3n+4)$.

Factor the Polynomial Completely 2n3+6n2+8n2 n ^ { 3 } + 6 n ^ { 2 } + 8 n2n3+6n2+8n

Factor the Polynomial Completely $2 n ^ { 3 } + 6 n ^ { 2 } + 8 n$