Ask Experts Questions for FREE Help !
Ask
    danishiya's Avatar
    danishiya Posts: 2, Reputation: 1
    New Member
     
    #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
    Ultra Member
     
    #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
    New Member
     
    #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
    Ultra Member
     
    #4

    Oct 11, 2009, 12:23 PM
    No.

    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #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.

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Income Tax Deduction from Charitable Remainder Trust [ 4 Answers ]

Hi, I am considering setting up a Charitable Remainder Trust through which I am told that I can get benefit of Income Tax Deduction and Estate Tax Benefit apart of satisfaction of donating my property to a good cause. Though I am clear with the Estate Tax Benefit, I am unable to figure out...

The Remainder Theorem working out 2 factors [ 2 Answers ]

When ax^3 - 4x^2 + 5x - 3 is divided by (x +2) and (x-1), the remainders are equal. Find a. I am unsure of this answer I worked out the remainder to be a = -3 But when I substitute it into the equation they do not match

Are we responsible for the remainder of lease? [ 3 Answers ]

My husband are forced to move because we can no longer afford the home we are renting. The lease agreement expires the end of March. We will be able to pay February rent and give a 30 day notice but we no longer have income coming in. Will we be responsible for the remainder of the lease?

Charitable Remainder Trust [ 2 Answers ]

Hi, I am considering setting up a Charitable Remainder Trust through which I am told that I can get benefit of Income Tax Deduction and Estate Tax Benefit apart of satisfaction of donating my property to a good cause. Though I am clear with the Estate Tax Benefit, I am unable to figure out...


View more questions Search