Chapter 8.4, Problem 15MCQ

To determine

To find: The simplified form of $\left(h+2\right)\left(3h^2+h-7\right)$ .

Answer to Problem 15MCQ

The simplified form of $\left(h+2\right)\left(3h^2+h-7\right)$ is $3h^3+7h^2-5h-14$ .

Explanation of Solution

Given:

The expression is $\left(h+2\right)\left(3h^2+h-7\right)$ .

Calculation:

Simplify the expression $\left(h+2\right)\left(3h^2+h-7\right)$ as follows:

  $\begin{array}{c}\left(h+2\right)\left(3h^2+h-7\right)=\left(h\right)\left(3h^2+h-7\right)+\left(2\right)\left(3h^2+h-7\right)\\ =3h^3+h^2-7h+6h^2+2h-14\\ =3h^3+h^2+6h^2-7h+2h-14\\ =3h^3+7h^2-5h-14\end{array}$

Thus, the simplified form of $\left(h+2\right)\left(3h^2+h-7\right)$ is $3h^3+7h^2-5h-14$ .