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-   -   Remainder Theorem (https://www.askmehelpdesk.com/showthread.php?t=404676)

  • Oct 10, 2009, 07:28 PM
    danishiya
    Remainder Theorem
    for what value of b will be polynomial p(x) = -2x^3 + bx^2 - 5x + 2 have the same remainder when it is divided by x- 2 and by x+1 ?
  • Oct 11, 2009, 03:24 AM
    galactus
    Divide it by x-2 and get:



    Divide by x+1:



    Can you finish?

    Look at the remainder terms. Equate the numerators in the remainder terms and solve for b.
  • Oct 11, 2009, 11:33 AM
    danishiya
    noo. Don't you have to sub 1 into 2 to get the other value.
  • Oct 11, 2009, 12:23 PM
    galactus
    No.

  • Oct 14, 2009, 11:04 AM
    Unknown008

    If you use the remainder theorem, then you apply it. It says that for a given polynomial f(x), the remainder, when f(x) is divided by (x - a), is given by f(a).

    Hence;



    Substituting 2;



    Substituting -1;



    If both remainder are equal, then:



    Solve for b.

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