SOLUTION: The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=−5.The y-intercept is y=−8 Find a formula for P(x). If a polynomial f(

Question 1137581: The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=−5.The y-intercept is y=−8 Find a formula for P(x).
If a polynomial f(x)has a remainder of −6 when divided by x−3, what is f(3)?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
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If a polynomial f(x)has a remainder of −6 when divided by x−3, what is f(3)?
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Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=−5.The y-intercept is y=−8 Find a formula for P(x).

The polynomial in factored form is

To find the coefficient a, use the fact that the y-intercept is -8 -- i.e., that f(0) = -8:

The equation in factored form is

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