SOLUTION: Given that (x+1) is one of the factors of P(x), then find the rest of the factors of P(x), where {{{P(x)=x^3+6x^2+11x+6}}}

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Question 625287: Given that (x+1) is one of the factors of P(x), then find the rest of the factors of P(x), where

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Given that (x+1) is one of the factors of P(x), then find the rest of the factors of P(x), where

.
You can either use "long division" OR "synthetic division" to divide:
by
.
Using synthetic division:
-1 | 1 6 11 6
-1 -5 -6
---------------
1 5 6 0
.
quotient:
x^2 + 5x + 6
factoring:
(x+3)(x+2) (the rest of the factors)
.

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