Chapter 8.2, Problem 39PPE

To determine

To factor the polynomial $31a^6{b}^3+63a^5$ .

Answer to Problem 39PPE

  $31a^6{b}^3+63a^5=a^5\left(31a{b}^3+63\right)$

Explanation of Solution

Given:

  $31a^6{b}^3+63a^5$

Calculation:

  $\begin{array}{l}31a^6{b}^3+63a^5=a^5\cdot 31a{b}^3+a^5\cdot 63\\ =a^5\left(31a{b}^3+63\right)\end{array}$