# Polynomial - partially factored

Factored Polynomial

Can this expression be factored more completely by factoring the quadratic portion of the expression?

Can this expression be expanded?

If f(x) = (x + 1)(x² + x – 6), what are the roots?

I don’t know how to solve this problem.

### Comments for Polynomial - partially factored

 Jul 16, 2013 Solve by: Staff Answer Part I Can this expression be factored more completely by factoring the quadratic portion of the expression? Yes The quadratic portion of the expression is: x² + x – 6 it can be factored as follows: x² + x – 6 = (x + 3)(x – 2) therefore, (x + 1)(x² + x – 6) = (x + 1)(x + 3)(x – 2) Can this expression be expanded? Yes. (x + 1)(x² + x – 6) = x³ +2x² - 5x – 6 -------------------------------------------------------------------

 Jul 16, 2013 Solve by: Staff ------------------------------------------------------------------- Part II If f(x) = (x + 1)(x² + x – 6), what are the roots? (x + 1)(x² + x – 6) = (x + 1)(x + 3)(x – 2) Roots = {-3, -1, 2} Thanks for writing. Staff www.solving-math-problems.com

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