Find the indicated product by applying the distributive property and combining similar terms. $( x + 9 ) \left( x ^ { 2 } - 5 x - 2 \right)$
A) $x ^ { 3 } + 4 x ^ { 2 } - 47 x - 9$
B) $x ^ { 3 } + 9 x ^ { 2 } - 47 x - 18$
C) $x ^ { 3 } + 4 x ^ { 2 } - 45 x - 18$
D) $x ^ { 3 } + 4 x ^ { 2 } - 47 x - 18$
E) $x ^ { 3 } + 4 x ^ { 2 } - 47 x + 18$

Question

Quizplus · Accepted Answer

Using the distributive property, we get:
$$\begin{aligned} & (x+9)(x^2-5x-2) \ & =x(x^2)-5x^2-2x+9(x^2)-45x-18 \ & =x^3+4x^2-47x-18 \end{aligned}$$
Thus, the correct choice is (D).

Find the Indicated Product by Applying the Distributive Property and Combining