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synthetic division algebra question?

Solve using synthetic division to divide the first polynomial by the second

1.)

x^4+9x^3+6x^2-65x-63, x-7

2.) 5x^3-18x+3, x+1

5 Answers

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  • 8 years ago
    Favorite Answer

    Hi,

    1.)

    x^4+9x^3+6x^2-65x-63, x-7

    . __________________

    7)1 . 9 . . 6 . -65 . .-63

    . __ 7_112_826_5327_

    . 1 16. 118 761. 5264

    x³ + 16x² + 118x + 761 + 5264/(x - 7) <==ANSWER

    2.) 5x^3-18x+3, x+1

    . _____________

    -1)5 . 0 . -18 . 3

    . __ -5___5_13__

    . . 5. -5 . -13 10

    5x² - 5x - 13 + 10/(x + 1) <==ANSWER

    I hope that helps!! :-)

  • 8 years ago

    7 l 1 9 6 -65 -63

    1 16 118 761 5264 (answer line)

    So, x^3 + 16x^2 + 118x + 761 R5264

    1 l 5 0 -18 3

    5 5 -13 -10

    So, 5x^2 + 5x - 13 R -10

  • musa a
    Lv 5
    8 years ago

    1) 16 x^3 + 6 x^2 - 65 x - 63

    2) -5 x^2 - 16 x +3

  • Anonymous
    4 years ago

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  • 8 years ago

    1)(x^4+9x^3+6x^2-65x-63)/(x-7)or

    ]x^4+9x^3+6x^2-65x-63[x³ + 16x²+118x + 761

    -(x⁴-7x³)

    -----------

    16x³+6x²

    -(16x² -112x²)

    ----------------

    118x² -65x

    -(118x² -826x)

    ------------------

    761x - 63

    -( 761x - 5327)

    -----------------------

    5264

    So the remainder is 5264

    2.) (5x³-18x+3)/(x+1)

    ]5x³-18x+3[5x² -5x -13

    -(5x³+5x²)

    --------------

    -5x²-18x

    -(-5x² -5x)

    ---------------

    -13x +3

    -(-13x -13)

    --------------

    16

    So 16 is the remainder

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