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    danishiya's Avatar
    danishiya Posts: 2, Reputation: 1
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    #1

    Oct 10, 2009, 07:28 PM
    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 ?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Oct 11, 2009, 03:24 AM
    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.
    danishiya's Avatar
    danishiya Posts: 2, Reputation: 1
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    #3

    Oct 11, 2009, 11:33 AM
    noo. Don't you have to sub 1 into 2 to get the other value.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Oct 11, 2009, 12:23 PM
    No.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #5

    Oct 14, 2009, 11:04 AM

    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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