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    leeyvonne's Avatar
    leeyvonne Posts: 1, Reputation: 1
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    #1

    Feb 20, 2013, 06:13 AM
    Polynomial
    Hi, I am stuck at this question. Appreciate if you could guide or help to solve this. Your thoughts would be greatly appreciated. Thanks!

    Find the remainder when f(x)=(x^4 - x^3 + 2x - 3) g(x) is divided by x-3, given that x-3 is a factor of g(x)+3, where g(x) is a polynomial.
    CWH68's Avatar
    CWH68 Posts: 26, Reputation: 2
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    #2

    Apr 11, 2015, 01:34 AM
    Hint: Say p(x) = (x-s)q(x) + r(x), where deg(r) < deg(x-s) = 1, which would mean that r(x) is a constant, say r0, so p(x) = (x-s)q(x) + r0.
    Then, p(s) = 0*q(s) + r0 = r0, is the remainder.
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