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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E3+%2B+2x%5E2+-+5x+-+6%29
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,
%28x%5E2-x-2%29 is the other factor.
.
Check by multiplying the two factors to get the orginal product:
%28x%5E2-x-2%29(x-3)