Chapter 8.5, Problem 50P

Error Analysis Describe and correct the error made in factoring the trinomial.

To determine

To determine: - Analysis error in factor of $x^2+2x-80$ .

Answer to Problem 50P

  $(x-8)(x+10)$ .

Explanation of Solution

Given information:-

  $x^2+2x-80=(x+8)(x-10)$

Calculation:-

  $\begin{array}{l}{x}^2+2x-80\\ =x^2+(10-8)x-80\\ =x^2+10x-8x-80\\ =x(x+10)-8(x+10)\\ =(x+10)(x-8)\end{array}$

Hence, factor of $x^2+2x-80$ is $(x+10)(x-8)$ .