SOLUTION: Factor each polynomial completely given that the binomial following it is a factor of the polynomial. x(3) + 2X(2) - 5x - 6, x + 3

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Question 95988: Factor each polynomial completely given that the binomial following it is a factor of the polynomial.
x(3) + 2X(2) - 5x - 6, x + 3

Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!

x(3) + 2X(2) - 5x - 6, x + 3
.
Use synthetic division to solve:
[x=-3]
.
Coeeficients: 1 +2 -5 - 6
.
1+2-5-6
0-3+3+6
______________
1-1-2+0
.
So,
is the other factor.
.
Check by multiplying the two factors to get the orginal product:
(x-3)

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