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Rational Root and Complex Conjugates Theorem. Rational Root Theorem Used to find possible rational roots (solutions) to a polynomial Possible Roots :

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Presentation on theme: "Rational Root and Complex Conjugates Theorem. Rational Root Theorem Used to find possible rational roots (solutions) to a polynomial Possible Roots :"— Presentation transcript:

1 Rational Root and Complex Conjugates Theorem

2 Rational Root Theorem Used to find possible rational roots (solutions) to a polynomial Possible Roots : P/Q Where P represents the factors of the constant of the polynomial and Q represents the factors of the leading coefficient

3 Rational Root Theorem

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7 Complex Conjugates Theorem If a + bi is a zero of the polynomial, then a – bi is a zero also. Ex. Find the polynomial whose zeros include 3 and 2 – i

8 Find the lowest degree polynomial with the following roots

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