Chapter 0.3, Problem 23E

To determine

To evaluate: the factors of polynomial.

Answer to Problem 23E

The factor of polynomial $36y^2-16$ is $\left(6y+4\right)\left(6y-4\right)$ .

Explanation of Solution

Given information:

Polynomial is given as $36y^2-16$

Factorizing the given polynomial,

  $\begin{array}{c}36y^2-16={\left(6y\right)}^2-{\left(4\right)}^2\\ {\left(6y\right)}^2-{\left(4\right)}^2=\left(6y+4\right)\left(6y-4\right)\end{array}$

So,

After factorizing $\left(6y+4\right)\left(6y-4\right)$ .