Let p(x) and q(x) be two polynomials in ℂ[x], both with a degreee greater than or equal to one. Prove that if the greate

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answerhappygod
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Let p(x) and q(x) be two polynomials in ℂ[x], both with a degreee greater than or equal to one. Prove that if the greate

Post by answerhappygod »

Let p(x) and q(x) be two polynomials in ℂ[x], both with a
degreee greater than or equal to one. Prove that if the
greatest common monic divisor of p(x) and q(x) is one, then p(x)
and q(x) do not have any roots in common.
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