Chapter 8, Problem 8CR

To determine

To find: the value of $P\left(2\right)$ .

Answer to Problem 8CR

The value is $P\left(2\right)=23$ .

Explanation of Solution

Given information:

The polynomial is $P\left(x\right)=x^5-2x^4+3x^2-1$ .

Calculation: to find the value of $P\left(2\right)$ , substitute $x=2$ in the polynomial,

  $\begin{array}{l}P\left(x\right)=x^5-2x^4+3x^2-1\\ P\left(2\right)={\left(2\right)}^5-2{\left(2\right)}^4+3{\left(2\right)}^2-1\text{ [substitute]}\\ P\left(2\right)=32-32+24-1\text{ [multiply]}\\ P\left(2\right)=23\text{ [simplify]}\end{array}$

Thus, the value is $P\left(2\right)=23$ .