Multiply.
-$$( x + 5 ) \left( x ^ { 2 } - x + 9 \right)$$
A) $x ^ { 3 } + 45$
B) $x ^ { 3 } + 4 x ^ { 2 } + 4 x + 45$
C) $x ^ { 3 } + 4 x ^ { 2 } + 45$
D) $x ^ { 3 } + 6 x ^ { 2 } + 14 x + 45$

Question

Quizplus · Accepted Answer

Use the distributive property to multiply the first term in the first factor by both terms in the second factor and then repeat for the second term in the first factor.
\begin{align*}
( x + 5 ) ( x ^ { 2 } - x + 9 ) &= x(x^2-x+9) + 5(x^2-x+9) \
&= x^3 - x^2 + 9x + 5x^2 - 5x + 45 \
&= x^3 + 4x^2 + 4x + 45
\end{align*}

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

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