Chapter 8.5, Problem 8P

Complete.

$g^2-14g+45=(g-9)(g-\square )$

To determine

To complete the given equation.

Answer to Problem 8P

  $g^2-14g+45=\left(g-9\right)\left(g-\underset{\_}{5}\right)$

Explanation of Solution

Given:

  $g^2-14g+45=\left(g-9\right)\left(g-\underset{\_}{}\right)$

Calculation:

The solution can be obtained as:

  $\begin{array}{l}{g}^2-14g+45=g^2-9g-5g+45\\ =g\left(g-9\right)-5\left(g-9\right)\\ =\left(g-9\right)\left(g-5\right)\\ \therefore g^2-14g+45=\left(g-9\right)\left(g-\underset{\_}{5}\right)\end{array}$