Chapter 0.3, Problem 12E

To determine

To evaluate: the factors of polynomial.

Answer to Problem 12E

The factor of polynomial $6x^2-13x+5$ is $\left(3x-5\right)\left(2x-1\right)$ .

Explanation of Solution

Given information:

Polynomial is given as $6x^2-13x+5$

Factorizing the given polynomial,

  $\begin{array}{c}6x^2-13x+5=6x^2-3x-10x+5\\ 6x^2-3x-10x+5=3x\left(2x-1\right)-5\left(2x-1\right)\\ 3x\left(2x-1\right)-5\left(2x-1\right)=\left(3x-5\right)\left(2x-1\right)\end{array}$

So,

After factorizing $\left(3x-5\right)\left(2x-1\right)$ .