Polynomial Division

Question

Construct a polynomial function with the standard properties.

Third Degree, with zeros of -3,-1 and 2, and passes through the point (1,6)

Answer 1

f(x) = A(x + 3)(x + 1)(x - 2)

6 = A(1 + 3)(1 + 1)(1 - 2)

6 = -8A

A = -3/4

f(x) = (-3/4)(x + 3)(x + 1)(x - 2)