Constructing polynomial functions

• Oct 8th 2009, 07:36 PM
mankvill
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)"

(Happy)
• Oct 8th 2009, 08:41 PM
mr fantastic
Quote:

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)"

(Happy)

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.