Third-degree, with zeros of −3 , − 2 , and 1 , and passes through the point ( 3 , 11 ) .

Question

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

Answer 1

Use a (x--(-3))(x--1)(x--(-2))

=a(x+3)(x--1)(x+2).

Now use the given x and y value to evaluate.

f(3) a(3+3)(3--1)(3+2) =11

60a=11

a= 11/60

So 11/60(x+3)(x--1)(x+2)