Question 181402: One factor of g(x)=x^3+x^2-9x-9 is x-3. Find the remaining factors.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! One factor of g(x)=x^3+x^2-9x-9 is x-3. Find the remaining factors.
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If x-3 is a factor, x=3 is a root.
Use Synthetic Division to find the other roots.
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3)...1....1....-9....-9
......1....4.....3..|..0
Quotient: x^2 + 4x + 3
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Factor the Quotient:
(x+3)(x+1)
Since these are factors of f(x), The missing roots are x=-3 and x=-1
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Cheers,
Stan H.
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