Chapter 8, Problem 58CR

To determine

To find: if the given expression can be factored.

Explanation of Solution

Given Information:

The given expression is $2x^2+15x+9$

The general form of the quadratic expression is $a{x}^2+bx+c$

The middle term should be split. The coefficient of middle term is $15$

The factors of $2\left(9\right)$ should split into $15$

None of the factors of $18$ splits into $15$ .

Therefore, the given expression can’t be factored.

The product of the given terms is $x^3-1$