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21 June, 08:53

Emergency! Find the quotient and remainder when x^4 is divided by x^2 + 2x - 1

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  1. 21 June, 09:00
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    quotient x² - 2x + 5

    remainder (-12x+5)

    Step-by-step explanation:

    x² - 2x + 5

    x² + 2x - 1 | x^4 + 0*x³ + 0*x² + 0x + 0

    | - (x^4 + 2x³ - x²)

    - 2x³ + x² + 0x

    - (-2x³ - 4x² + 2x)

    5x² - 2x + 0

    - (5x² + 10x - 5)

    -12x + 5

    x² - 2x + 5 + (-12x + 5) / (x² + 2x - 1)
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