Chapter 8, Problem 17MS

To determine

To find: The complete factor an write “prime” if cannot be factored.

Answer to Problem 17MS

The complete factor is $\left(n+2\right)\left(n+9\right)$ .

Explanation of Solution

Given information:

The given polynomial is $n^2+11n+18$ .

Calculation:

Consider the polynomial.

  $n^2+11n+18$

Simplify the polynomial.

  $\begin{array}{l}{n}^2+11n+18\\ n^2+9n+2n+18\\ n\left(n+9\right)+2\left(n+9\right)\\ \left(n+2\right)\left(n+9\right)\end{array}$

Therefore, the complete factor is $\left(n+2\right)\left(n+9\right)$ .