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March 27, 2017

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When a polynomial is divided by x+3, the quotient is x^3+x^2-4 and the remainder is 8. Find the dividend?

  • Algebra - ,

    Suppose the question had said:

    when a number is divided by 4 the quotient is 6 with a remainder of 1
    we would write:
    number = 6(4) + 1
    = 25

    so
    f(x) = (x^3 + x^2 - 4)(x+3) + 8
    = x^4 + 3x^3 + x^3 + 3x^2 - 4x - 12 + 8
    = x^4 + 4x^3 + 3x^2 - 4x - 4

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