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8 May, 05:28

What is the quotient when x^3-5x^2+5 is divided by x-2

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  1. 8 May, 05:47
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    x² - 3x - 6

    Step-by-step explanation:

    One way to divide is to use the divisor as a factor in the numerator

    Consider the numerator

    = x² (x - 2) + 2x² - 5x² + 5

    = x² (x - 2) - 3x (x - 2) - 6x + 5

    = x² (x - 2) - 3x (x - 2) - 6 (x - 2) - 12 + 5

    = x² (x - 2) - 3x (x - 2) - 6 (x - 2) - 7

    quotient = x² - 3x - 6, remainder = - 7
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