Question

Find a polynomial f(x) of degree 7 such that
−2 and 2 are both zeros of multiplicity 2, 0 is a zero of multiplicity 3, and f(−1) = 45.

Answer 1

-2 is a root/zero implies (x+2) is a factor. Since the zero has a multiplicity of 2, (x+2)^2 is a factor.
Can you follow the same logic and complete the problem?

Answer 2

so f(x)=a(x+2)^2(x-2)^2(x-3)^3

Answer 3

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