What is the answer?

Question

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

Second-degree, with zeros of −2−2 and 66, and goes to −∞−∞ as x→−∞.

Answer 1

x=-2 is one zero

x+2=0

x=6 is a 2nd zero

x-6=0

x+2 is one factor

x-6 is another factor

multiply the two factors together

a(x+2)(x-6)

as x goes to -infinity, the quadratic goes to -infinity, so a<0

-(x+2)(x-6)

=-(x^2-4x -12)

=-x^2 +4x +12