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9 May, 15:44

When the polynomial x^4-3x^3-7x^2+7x+2 is divided by x+2 the quotient is x^3 + Bx^2 + Cx + 1. Find the value of B + C

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Answers (2)
  1. 9 May, 15:56
    0
    B=-5

    C=3
  2. 9 May, 16:04
    0
    B=-5

    C=3

    Step-by-step explanation:

    x^4-3x^3-7x^2+7x+2 = x^4-3x^3-10x^2+3x^2+7x+2

    =x^4-3x^3-10x^2 + 3x^2+7x+2

    =x^2 (x^2-3x-10) + 3x^2+7x+2

    =x^2 (x^2+2x-5x-10) + 3x^2+6x+x+2

    =x^2 (x (x+2) - 5 (x+2)) + 3x (x+2) + 1 (x+2)

    = (x+2) (x^2 (x-5) + (3x+1))

    = (x+2) (x^3-5x^2+3x+1)
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