15 Equations of Higher Degree


After completion of this chapter, the student should be able to:

  • Use the remainder theorem to evaluate polynomials and to find remainders

  • Use the factor theorem to identify factors and zeros of polynomials

  • Perform synthetic division

  • Use the fundamental theorem of algebra to determine the number of roots of an equation

  • Solve equations given at least one root

  • Determine the possible rational roots of an equation

  • Determine the maximum possible number of positive and negative roots by using Descartes’ rule of signs

  • Solve polynomial equations of degree three and higher

  • Solve application problems involving polynomial equations

The errors in the hand-compiled mathematical tables used by the British ...

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