Third-degree, with zeros of -3, -2 and 1, and passes through the point (4,10)

Solution:

The function is

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

When x=4, y=10

(4+3)(4+2)(4-1)A=10, A=5/63

So the function is

y = (5/63)(x+3)(x+2)(x-1)