Precalculus · Problem 3.2.44

Polynomial Functions — Stitz & Zeager

Mathematics — Precalculus · constructing-polynomials

Problem

Create a polynomial

p

which has the desired characteristics. You may leave the polynomial in factored form. • The solutions to

p(x) = 0

are

x = \pm 3

x = -2

, and

x = 4

. • The leading term of

p(x)

-x^5

. • The point

(-2, 0)

is a local maximum on the graph of

y = p(x)