Chapter 14.8, Problem 15PPS

To determine

To calculate: The factors of the trinomial $c^2+2c-3$ .

Answer to Problem 15PPS

The factors of the trinomial $c^2+2c-3$ are $c+3\text{and}c-1$ .

Explanation of Solution

Given Information:

The trinomial expressionis $c^2+2c-3$ .

Calculation:

The given trinomial is $c^2+2c-3$ .

Split $-8x$ into two parts such that their product is equal to the product of $x^2$ and 15.

  $\begin{array}{c}{c}^2+2c-3=c^2+3c-c-3\\ =c\left(c+3\right)-1\left(c+3\right)\\ =\left(c+3\right)\left(c-1\right)\end{array}$

Hence, the factors of the trinomial $c^2+2c-3$ are $c+3\text{and}c-1$ .