# Math Help - Constructing polynomial functions

1. ## Constructing polynomial functions

Pretty lost on this.

"Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.:

Third-degree, with zeros of -2,-1, and 3, and passes through the poing (4,12)"

2. Originally Posted by mankvill
Pretty lost on this.

"Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.:

Third-degree, with zeros of -2,-1, and 3, and passes through the poing (4,12)"

If $x = \alpha$ is a zero then $(x - \alpha)$ is a factor. So $y = k(x + 2)(x + 1)(x - 3)$.

Now substitute (4, 12) and solve for k.