SOLUTION: factor the expression: x^3+4x^2+x+4

Question 886055: factor the expression: x^3+4x^2+x+4
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
start with x^3 + 4x^2 + x + 4
separate into 2 separate sections as shown below:
(x^3 + 4x^2) + (x + 4)
factor out an x^2 from the first secction to get:
x^2 * (x + 4) + (x + 4)
this is equivalent to:
x^2 * (x + 4) + 1 * (x + 4)
factor out the common factor of (x + 4) to get:
(x^2 + 1) * (x + 4)
those are your factors.

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