Precalculus · Problem 3.2.43

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

and

x = 6

• The leading term of

p(x)

7x^4

• The point

(-3, 0)

is a local minimum on the graph of

y = p(x)