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Math Help - remainder theorem 2

  1. #1
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    remainder theorem 2

    i dont understand how to solve this equation so if anyone could help that would be greatly appreaciated

    When kx^3 + px^2 -x + 3 is divided by x - 1, the remainder is 4. When kx^3 + px^2 -x + 3 is divided by x- 2, the remainder is 21. What are the values of k and p?
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  2. #2
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    Quote Originally Posted by flwer_13 View Post
    i dont understand how to solve this equation so if anyone could help that would be greatly appreaciated

    When kx^3 + px^2 -x + 3 is divided by x - 1, the remainder is 4. When kx^3 + px^2 -x + 3 is divided by x- 2, the remainder is 21. What are the values of k and p?
    remainder theorem ...

    If a polynomial P(x) is divided by (x − r), then the remainder of this division is the same as evaluating P(r).

    so ...

    k(1)^3 + p(1)^2 - (1) + 3 = 4

    k(2)^3 + p(2)^2 - (2) + 3 = 21

    solve the system for k and p
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