SOLUTION: Let P(x)=x^3-6x^2+5x+12 a.determine whether x-4 is a factor of P(x). b.find another factor of P(x). c.find a complete factorization of P(x). d.solve the equation P(x)=0.

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Question 985472: Let P(x)=x^3-6x^2+5x+12
a.determine whether x-4 is a factor of P(x).
b.find another factor of P(x).
c.find a complete factorization of P(x).
d.solve the equation P(x)=0.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!


4    |   1    -6    5    12
     |         4   -8   -12
     |________________________
         1    -2   -3    0

First factorization is %28x-4%29%28x%5E2-2x-3%29.

The quadratic is easily factored: %28x-3%29%28x%2B1%29.

highlight%28P%28x%29=%28x-4%29%28x-3%29%28x%2B1%29%29