Chapter 8.5, Problem 4AGP

To determine

To factor: The polynomial $c-2cd+8d-4$

Answer to Problem 4AGP

  $\left(c-4\right)\left(1-2d\right)$

Explanation of Solution

Given:

  $c-2cd+8d-4$

Calculation:

The given polynomial is $c-2cd+8d-4$

Make groups as shown below

  $\left(c-4\right)+\left(-2cd+8d\right)$

So, factored out the GCF from each of the group and then factored out the common factor

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

So, the factored form is $\left(c-4\right)\left(1-2d\right)$