Chapter 4.5, Problem 5MRE

To determine

To write thesimplified polynomial.

Answer to Problem 5MRE

The value of polynomial is $a^3+2a-6a^2-12$ .

Explanation of Solution

Given information:

  $\left(a^2+2\right)\left(a-6\right)$

Calculation:

The polynomial can be obtained as

  $\begin{array}{l}\left(a^2+2\right)\left(a-6\right)\\ =a^2\times a+2\times a-a^2\times \text{6}-2\times 6\left[\text{multiply the binomials}\right]\\ =a^3+2a-6a^2-12\\ \end{array}$

Hence,

The value of polynomial is $a^3+2a-6a^2-12$ .