Find a polynomial function of degree 4 with the zeros minus2 ​(multiplicity 2​) and 2 ​(multiplicity 2​), whose graph passes through the point left parenthesis negative 4 comma 720 right parenthesis.

Answer 1

f(x) = A(x + 2)²(x - 2)²

with A ≠ 0. Find A from

f(-4) = 720

720 = A(-4 + 2)²(-4 - 2)²

You finish from here.