SOLUTION: find a polynomial function of degree 4 with -2 as a zero of multiplicity 1, 3 as a zero of multiplicity 2, and -1 as a zero of multiplicity 1 please show steps so i can learn. t

Question 472489: find a polynomial function of degree 4 with -2 as a zero of multiplicity 1, 3 as a zero of multiplicity 2, and -1 as a zero of multiplicity 1
please show steps so i can learn. thanks!
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Use the fact that if r is a root of a polynomial, then x-r is a factor of the polynomial. Here, if -2 is a root, then x-(-2) = x+2 is a factor. Applying this, we get

The x-3 is squared because the root 3 has multiplicity 2.
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