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Name _______________________________________ Date __________________ Class __________________ Practice A Finding Real Roots of Polynomial Equations Solve each polynomial equation by factoring. 1. 5x 3 10x 2 5x 0 ________________________________________ 3. 4x + 40x 100x 0 3 2 ________________________________________ 2. x 3 2x 2 9x 18 0 ________________________________________ 4. 8x 4 48x 3 56x 2 ________________________________________ Identify the roots of each equation. State the multiplicity of each root. 5. x 3 2x 2 3x 0 ________________________________________ 7. x 3 7x 2 11x 5 0 ________________________________________ 6. 2x 3 4x 2 2x 0 ________________________________________ 8. x 3 12x 2 36x 0 ________________________________________ Use the Rational Root Theorem to identify all possible rational roots. 9. 3x 3 2x 2 1 0 ________________________________________ 11. 2x 3 x 10 0 ________________________________________ 10. x 4 3x 2 12 0 ________________________________________ 12. x 4 6x 9 0 ________________________________________ Solve. 13. Kim and Stefan both factor the equation x 2 4 0. Kim thinks that the root 2 has multiplicity 2, but Stefan thinks the root 2 has multiplicity 1. Who is correct? How do you know? ________________________________________________________________________________________ © Houghton Mifflin Harcourt Publishing Company Holt McDougal Advanced Algebra