Multiply $( 3 x + 5 ) \left( x ^ { 2 } + 9 x - 2 \right)$ and simplify.
A) $3 x ^ { 3 } + 32 x ^ { 2 } + 9 x - 2$
B) $3 x ^ { 3 } + 5 x ^ { 2 } + 45 x - 2$
C) $3 x ^ { 3 } + 45 x ^ { 2 } - 2$
D) $3 x ^ { 3 } + 5 x ^ { 2 } + 39 x - 10$
E) $3 x ^ { 3 } + 32 x ^ { 2 } + 39 x - 10$

Question

Quizplus · Accepted Answer

We can use the distributive property to multiply the expression:

\begin{align*}
&(3x+5)(x^2+9x-2)\
=&3x(x^2+9x-2)+5(x^2+9x-2)\
=&3x^3+27x^2-6x+5x^2+45x-10\
=&3x^3+32x^2+39x-10
\end{align*}

Therefore, the correct answer is $\boxed{	extbf{(E)}}$.

Multiply (3x+5)(x2+9x−2)( 3 x + 5 ) \left( x ^ { 2 } + 9 x - 2 \right)(3x+5)(x2+9x−2)

Multiply $( 3 x + 5 ) \left( x ^ { 2 } + 9 x - 2 \right)$