Precalculus · Problem 48

Rational Functions — Stitz & Zeager

Mathematics — Precalculus · complex-zeros-polynomial-factoring

Problem

Find all of the zeros of f(x)=2x4+5x3+13x2+7x+5f(x) = 2x^4 + 5x^3 + 13x^2 + 7x + 5, then completely factor it over the real numbers and completely factor it over the complex numbers. (Hint: x=−1+2ix = -1 + 2i is a zero.)

Related theory

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