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divide 3×2-x3-3x+5 by x-1-x2 and verify the division algorithm​

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divide 3×2-x3-3x+5 by x-1-x2 and verify the division algorithm​

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Claire

Find the difference between the greatest and the least number that can be written using the digits6,2,7,4,3 each only once?​

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1 thought on “divide 3×2-x3-3x+5 by x-1-x2 and verify the division algorithm​”

  1. Answer:

    Let f(x) = 3x² – x³ – 3x + 5 and g(x) = x – 1 – x²

    Long Division Method:

    -x² + x – 1) -x³ + 3x² – 3x + 5(x – 2

    -x³ + x² – x

    2x² – 2x + 5

    2x² – 2x + 2

    = 3

    Verification:

    Dividend = Divisor * Quotient + Remainder

    = (-x² + x – 1) – (x – 2) + 3

    = -x³ + x² – x + 2x² – 2x + 2 + 3

    = 3x² – x³ – 3x + 5

    Step-by-step explanation:

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