Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.

p(x) =

9514 1404 393

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

answer4 to the second power is 16

and 4 to the third power is 64,