SOLUTION: factor and name the roots of P(x)=X3+X2-4x-4

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Question 452424: factor and name the roots of P(x)=X3+X2-4x-4
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

P%28x%29=x%5E3%2Bx%5E2-4x-4...group first two and second two terms
P%28x%29=%28x%5E3%2Bx%5E2%29-%284x%2B4%29
P%28x%29=x%5E2%28x%2B1%29-4%28x%2B1%29
P%28x%29=%28x%5E2-4%29%28x%2B1%29
P%28x%29=%28x%5E2-2%5E2%29%28x%2B1%29
P%28x%29=%28x-2%29%28x%2B2%29%28x%2B1%29.......set P%28x%29=0
0=%28x-2%29%28x%2B2%29%28x%2B1%29....if at least one of multipliers is equal to zero, whole product will be equal to zero; so, the roots are:

x-2=0.......->....x=2
x%2B2=0.......->....x=-2
x%2B1=0.......->....x=-1