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    Polynomial division

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    PART ONE:

    solve:

    (32x^6 - 24x^2 y^9 + 4x^2 y) / (4x^2 y)

    A) 8x^4 y^3 - 6y^8 + 1

    B) 8x^3 y^4 - 6y^8 + 1

    C) 8x^3 y^2 - 6xy^7 + 1

    D) 8x^4 y^3 - 6xy^8 + 1

    PART TWO:

    solve:

    (15m^3 + 26m^2 - 11m - 6) / (5m-3)

    A) 3m^2 + 26/5 times m - 5 and 1/5

    B) 3m^2 + 2m- 2

    C) 3m^2 + 7m - 2

    D) 3m^2 + 26m / 5m-3

    © BrainMass Inc. brainmass.com February 24, 2021, 2:12 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/polynomial-division-performed-7338

    Solution Preview

    PART ONE
    (32x^6 - 24x^2 y^9 + 4x^2 y) / (4x^2 y)
    Divide each term in the numerator by the denominator
    (A+B+C)/D = A/D + B/D + C/D
    = (32x^6/4x^2 y) - (24x^2 y^9/4x^2 y) + (4x^2 y/4x^2 y)
    Since x^m / x^n = x^(m-n)
    = 8x^4(y^-1) ...

    Solution Summary

    This shows how to perform polynomial division.

    $2.19

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