Chapter 8, Problem 48CR

To determine

To factor the expression $t^2-13t-30$ .

Answer to Problem 48CR

  $t^2-13t-30=\left(t-15\right)\left(t+2\right)$

Explanation of Solution

Given:

  $t^2-13t-30$

Calculation:

  $\begin{array}{l}{t}^2-13t-30=t^2-15t+2t-30\\ =t\left(t-15\right)+2\left(t-15\right)\\ =\left(t-15\right)\left(t+2\right)\end{array}$