Chapter 8, Problem 54CR

To determine

To factor the expression $-2h^2+4h+70$ .

Answer to Problem 54CR

  $-2h^2+4h+70=-2\left(h-7\right)\left(h+5\right)$

Explanation of Solution

Given:

  $-2h^2+4h+70$

Calculation:

  $\begin{array}{l}-2h^2+4h+70=-2\left(h^2-2h-35\right)\\ =-2\left(h^2-7h+5h-35\right)\\ =-2\left[h\left(h-7\right)+5\left(h-7\right)\right]\\ =-2\left(h-7\right)\left(h+5\right)\end{array}$