Chapter 14.8, Problem 16PPS

To determine

To calculate: The factors of the trinomial $m^2-2m-24$ .

Answer to Problem 16PPS

The factors of the trinomial $m^2-2m-24$ are $m+4\text{and}m-6$ .

Explanation of Solution

Given Information:

The trinomial expression is $m^2-2m-24$ .

Calculation:

The given trinomial is $m^2-2m-24$ .

Split $-4m$ into two parts such that their product is equal to the product of $m^2$ and $-21$ .

  $\begin{array}{c}{m}^2-2m-24=m^2-6m+4m-24\\ =m\left(m-6\right)+4\left(m-6\right)\\ =\left(m+4\right)\left(m-6\right)\end{array}$

Hence, the factors of the trinomial $m^2-2m-24$ are $m+4\text{and}m-6$ .