Chapter 0.3, Problem 14E

To determine

To evaluate: the factors of polynomial.

Answer to Problem 14E

The factor of polynomial $11x^2-78x+7$ is $\left(11x-1\right)\left(x-7\right)$ .

Explanation of Solution

Given information:

Polynomial is given as $11x^2-78x+7$

Factorizing the given polynomial,

  $\begin{array}{c}11x^2-78x+7=11x^2-77x-x+7\\ 11x^2-77x-x+7=11x\left(x-7\right)-1\left(x-7\right)\\ 11x\left(x-7\right)-1\left(x-7\right)=\left(11x-1\right)\left(x-7\right)\end{array}$

So,

After factorizing $\left(11x-1\right)\left(x-7\right)$ .