Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3, −2, and 1, and passes through the point (4,6).

Answer 1

(x+3)(x+2)(x-1)(6/126)

= (x^2+5x+6)(x-1)(6/126)

= (x^3 +4x^2 +x-6)(1/21) = x^3/21 + 4x^2/21 + x/21 -2/7

f(4) = (64+64+4-6)(1/21)= 126/21= 6

It goes through the point (4,6)