SOLUTION: 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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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      Log On


   

Question 1186826: 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) =

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Zeros of -4 and 6 means the factored form contains factors of (x+4) and (x-6).

Goes to −∞ as x goes to −∞ means the leading coefficient is negative.

With no other information, we don't know the value of the leading coefficient, other than it is negative.

ANSWER: p%28x%29=a%28x%2B4%29%28x-6%29 where a<0