Chapter 8.8, Problem 7LC

To determine

To tell: Whether the given polynomial is factored by grouping or not.

Explanation of Solution

Given information:

The given polynomial is $24t^3-42t^2-28t+49$

Factorize $24t^3-42t^2-28t+49$

  $\begin{array}{l}24t^3-42t^2-28t+49\\ =\left(24t^3-42t^2\right)+\left(-28t+49\right)\\ =6t^2\left(4t-7\right)-7\left(4t-7\right)\\ =(4t-7)(6t^2-7)\end{array}$

Hence, the given polynomial can be factored by grouping.