SOLUTION: For the polynomial below,3 is a zero G(X)=x^3-5x^2+2x+12 Express as a product of linear factors.

Question 718531: For the polynomial below,3 is a zero
G(X)=x^3-5x^2+2x+12
Express as a product of linear factors.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If is a zero of
is one of the linear factors we are searching for.
Dividing by we find

Now we just have to factor
Unfortunately, the factors are not pretty.
Using the quadratic formula, or by "completing the square"
we find that the solutions to are

That means that we can factor as
and

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