Chapter 0.3, Problem 13E

To determine

To evaluate: the factors of polynomial.

Answer to Problem 13E

The factor of polynomial $6a^2-50ab+16b^2$ is $2\left(3a-b\right)\left(a-8b\right)$ .

Explanation of Solution

Given information :

Polynomial is given as $6a^2-50ab+16b^2$

Factorizing the given polynomial,

  $\begin{array}{c}6a^2-50ab+16b^2=6a^2-48ab-2ab+16b^2\\ 6a^2-48ab-2ab+16b^2=6a\left(a-8b\right)-2b\left(a-8b\right)\\ 6a\left(a-8b\right)-2b\left(a-8b\right)=\left(6a-2b\right)\left(a-8b\right)\\ \left(6a-2b\right)\left(a-8b\right)=2\left(3a-b\right)\left(a-8b\right)\end{array}$

So,

After factorizing $2\left(3a-b\right)\left(a-8b\right)$ .