Precalculus · Problem 52

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. •

f

is degree 5. •

x = 6

x = i

and

x = 1 - 3i

are zeros of

f

• as

x \to -\infty

f(x) \to \infty