Find a polynomial function with the zeros -2 (multiplicity 2) and 2 (multiplicity 2), whose graph passes through the point (-3,100)

Question

Find a polynomial function with the zeros -2 ​(multiplicity 2​) and 2 ​(multiplicity 2​), whose graph passes through the point (-3,100)

Mark M. · Accepted Answer

f(x) = a(x - 2)2(x + 2)2Since f(-3) = 100, a(25)(1) = 100.  So, a = 4.f(x) = 4(x - 2)2(x + 2)2

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