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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

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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)


factor polynomial expression




Can this expression be expanded?

Yes.

(x + 1)(x² + x – 6) = x³ +2x² - 5x – 6


expand polynomial expression






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Jul 16, 2013
Solve
by: Staff


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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}



roots polynomial function







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Staff
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