Find Quotient and remainder with long division?!?

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by using long division or even synthetic, find the remainder and quotient when 2x^4+3x^2 -5x+9 is divided by x+3. I don't know how to divide with 4th degrees, i tried synthetic ...show more
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  • mohanrao d answered 5 years ago
    x + 3)2x^4 + 0x^3 + 3x^2 - 5x + 9(2x^3
    ........2x^4 + 6x^3
    _______________________
    .................-6x^3 + 3x^2(-6x^2
    .................-6x^3 - 18x^2
    ______________________
    .......................21x^2 - 5x(21x
    .......................21x^2 +63x
    _____________________
    .........................-68x+ 9(-68
    ..........................-68x - 204
    ______________________
    ..............................213

    The quotient is 2x^3 - 6x^2 + 21x - 68 and remainder is 213
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  • maria c answered 5 years ago
    2x^4+3x^2-5x+9|x+3
    -2x^4-6x^3 |_______
    ____________ |2x^3-6x^2+21x-68
    0-6x^3+3x^2-5x+9
    +6x^3+18x^2
    _____________
    0 +21x^2-5x+9
    -21x^2-63x
    ___________________
    0 -68x+9
    +68x+68*3
    ________________________
    0+68*3+9
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  • Tracy (Officially allowing fans) answered 5 years ago
    2x^3-6x^2+21x-68 with remainder 213/x+3
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