Chapter 14.8, Problem 11PPS

To determine

To calculate: The factors of the trinomial $b^2+5b+4$ .

Answer to Problem 11PPS

The factors of the trinomial $b^2+5b+4$ are $b+1\text{and}b+4$ .

Explanation of Solution

Given Information:

The trinomial expression is $b^2+5b+4$ .

Calculation:

The given trinomial is $b^2+5b+4$ .

Split $5b$ into two parts such that their product is equal to the product of $b^2$ and 4.

  $\begin{array}{c}{b}^2+5b+4=b^2+4b+b+4\\ =b\left(b+4\right)+1\left(b+4\right)\\ =\left(b+1\right)\left(b+4\right)\end{array}$

Hence, the factors of the trinomial $b^2+5b+4$ are $b+1\text{and}b+4$ .