Chapter 4.5, Problem 8OE

To determine

To factor thepolynomial.

Answer to Problem 8OE

The value of polynomial is ${\left(x-4\right)}^2$ .

Explanation of Solution

Given information:

  $x^2-8x+16$

Calculation:

The polynomial can be obtained as

  $\begin{array}{l}{x}^2-8x+16\\ ={\left(x\right)}^2-2\times x\times 4+{\left(4\right)}^2\left[\text{perfect square trinomial}\right]\\ ={\left(x-4\right)}^2\end{array}$

Hence,

The value of polynomial is ${\left(x-4\right)}^2$ .