Chapter 8, Problem 22MS

To determine

To find: The complete factor of polynomial and write “prime” if cannot be factored.

Answer to Problem 22MS

The complete factor is $\left(4\right)\left(c-1\right)\left(c-8\right)$ .

Explanation of Solution

Given information:

The given polynomial is $4c^2-36c+32$

Calculation:

Consider the polynomial.

  $4c^2-36c+32$

Simplify the equation.

  $\begin{array}{l}4c^2-36c+32=4c^2-32c-4c+32\\ =4c\left(c-8\right)-4\left(c-8\right)\\ =\left(4c-4\right)\left(c-8\right)\\ =\left(4\right)\left(c-1\right)\left(c-8\right)\end{array}$

Therefore, the complete factor of polynomial is $\left(4\right)\left(c-1\right)\left(c-8\right)$ .