Find a polynomial function with the given real zeros whose graph contains the given point.

Question

Zeros: -3,0,2,3.

Degree:4

Point: (-1/2,-175)

Answer 1

y = A [x - (-3)] (x - 0)(x - 2)(x - 3)

y = A(x + 3)x(x - 2)(x - 3)

Now solve for A by plugging in

x = -1/2

y = -175

A = -175 / [(-1/2 + 3)(-1/2)(-1/2 - 2)(-1/2 - 3) = ?

You finish from here.