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MAT 105: College Algebra: 5.5 Zeros of Polynomial Functions

5.5 Zeros of Polynomial Functions

5.5 Zeros of Polynomial Functions

Learning Objectives

In this section, you will:

  • Evaluate a polynomial using the Remainder Theorem,
  • Use the Factor Theorem to solve a polynomial equation,
  • Use the Rational Zero Theorem to find rational zeros,
  • Find zeros of a polynomial function,
  • Use the Linear Factorization Theorem to find polynomials with given zeros,
  • Use Descartes' Rules of Signs,
  • Solve real-world applications of polynomial equations.

 

Evaluate a Polynomial Using the Remainder Theorem

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Use The Factor Theorem to Solve a Polynomial Equation

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Use the Rational Zero Theorem to Find Rational Zeros

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Find Zeros of Polynomial Functions

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Use the Linear Factorization Theorem to Find Polynomials with Given Zeros

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Use Descartes' Rule of Signs

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Solve Real-World Applications of Polynomial Equations

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