SOLUTION: find a polynomial f(x) of degree 3 that satisfies the following condition: -2 is a zero of multiplicity 3; f(-1) = 4

Question 241535: find a polynomial f(x) of degree 3 that satisfies the following condition: -2 is a zero of multiplicity 3; f(-1) = 4
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
With -2 a zero of multiplicity 3, f(x) will be of the form or where q is some constant. And we can use f(-1) to find q:

So . Since we are asked to find f(x) as a polynomial, we will need to multiply this out:

Since :

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