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Rational Root and Complex Conjugates Theorem

Rational Root and Complex Conjugates Theorem. 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.

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Rational Root and Complex Conjugates Theorem

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  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

  4. Rational Root Theorem

  5. Rational Root Theorem

  6. Rational Root Theorem

  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

  9. Find the lowest degree polynomial with the following roots

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