Chapter 4.3, Problem 31E

To determine

To find: The binomial factors of polynomial $x^3-5x^2+2x+8$ .

Answer to Problem 31E

  $\left(x-4\right)\left(x-2\right)\left(x+1\right)$

Explanation of Solution

Given information: $x^3-5x^2+2x+8$

Calculation:

  $x^3-5x^2+2x+8$

  $-1,2\text{ and 4 are roots}\left(\text{at that }x\text{ value, }y\text{ equals 0}\right)$

  $\Rightarrow \left(x-4\right)\left(x-2\right)\left(x+1\right)$