Chapter 8.5, Problem 1P

To determine

To find: the factor of $r^2+11x+24$ .

Answer to Problem 1P

The factors form is $\left(r+8\right)\left(r+3\right)$ .

Explanation of Solution

Given:

The polynomial is $r^2+11x+24$ .

Calculation:

The factorization is as follows:

  $\begin{array}{c}{r}^2+11r+24=r^2+8r+3r+24\left(24r^2=\left(8r\right)\left(3r\right)\right)\\ =r\left(r+8\right)+3\left(r+8\right)\\ =\left(r+8\right)\left(r+3\right)\end{array}$

Thus, the factors form is $\left(r+8\right)\left(r+3\right)$ .