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)

Answer 1

f(x) = a(x - 2)²(x + 2)²

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

f(x) = 4(x - 2)²(x + 2)²