real number).” src=”https://files.transtutors.com/questions/transtutors004/images/transtutors004_8649195a-3896-49b7-871c-f61b515bb6c9.png”>
Show transcribed image text Let P(z) = anz^n+an-1z (n-1)? a1z^1 be a polynomial where each a element of R i.e., each a is a real number). Show that if Zr iS a complex number which satisfies P(Zr) = 0, then P(z r) = 0. Note: This establishes that complex roots of a real valued polynomial come in complex conjugate pairs.