# Show transcribed image text Let P(z) = anz^n+an-1z (n-1)? a1z^1 be a polynomial where each a element

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Show transcribed image text Let P(z) = anz^n+an-1z (n-1)? a1z^1 be a polynomial where each a element

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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.