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    Polynomials and Rational Functions : Synthetic Division and Descarte's Rule of Signs

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    1.USE DESCARTES` RULE OF SIGNS TO DETERMINE THE POSSIBLE NUMBER OF POSITIVE REAL ZEROS OF THE FUNCTION.
    f(x)=3x cube-4x squared-2x-4
    ANSWER: A.3 or 1 B.1 C.2 or 0 D.5, 3, OR 1

    2.USE SYNTHETIC DIVISION TO COMPLETE THE INDICATED FACTORIZATION:x cube-7x-6=(x-3)( )
    3.USE SYNTHETIC DIVISION TO COMPLETE THE INDICATED FACTORIZATION: x forth -4x cube-19x squared +106x-120 = (x-3)( )
    4.USE SYNTHETIC DIVISION TO DETERMINE WHICH OF THE FOLLOWING
    POLYNOMIALS IS NOT A FACTOR OF : x cube + 5x squared-4x-20
    5. EXAMINE THE LEAD TERM AND DETERMINE THE FAR-LEFT AND FAR-RIGHTBEHAVIOR OF THE GRAPH OF THE POLYNOMIAL FUNCTION.
    N(x)=2+8x squared-4x cube

    © BrainMass Inc. brainmass.com February 24, 2021, 2:36 pm ad1c9bdddf
    https://brainmass.com/math/number-theory/polynomials-rational-functions-synthetic-division-31690

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    Solution:

    1.
    According to DESCARTES` RULE OF SIGNS, there is one sign change. This number ...

    Solution Summary

    Polynomials are investigated using synthetic division and Descarte's rule of signs. A graph is also drawn.

    $2.19

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