Precalculus · Problem 49

Rational Functions — Stitz & Zeager

Mathematics — Precalculus · constructing-polynomial-from-zeros

Problem

Create a polynomial

f

with real number coefficients which has all of the desired characteristics. You may leave the polynomial in factored form. • The zeros of

f

are

c = \pm 1

and

c = \pm i

• The leading term of

f(x)

42x^4