Results 1 to 2 of 2

Math Help - Factor theorem

  1. #1
    Junior Member
    Joined
    Oct 2009
    Posts
    72

    Post Factor theorem

    Hi there, I have the math question that I have is giving me some problem.
    It said if f(x)\equiv ax^2 + bx +c leaves remainders 1, 25, 1 on division by  x-1, x+1, x-2 respectively, show that f(x) is a prfect square.
    can some one please help me with this problem?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    From your information

    f(1) = 1

    a1^2 + b(1) +c = 1

    a+b+c = 1 ...(1)



    f(-1) = 25

    a(-1)^2 + b(-1) +c = 25

    a-b+c = 25 ...(2)



    f(2) = 1

    a(2)^2 + b(2) +c = 1

    4a+2b+c = 1 ...(3)

    you now have 3 equations with 3 unknowns, find a,b, and c and try to factor the original equation as a perfect square.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Need help on factor theorem.
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 10th 2010, 01:35 AM
  2. factor theorem
    Posted in the Algebra Forum
    Replies: 8
    Last Post: January 5th 2009, 06:43 PM
  3. Factor theorem!
    Posted in the Algebra Forum
    Replies: 4
    Last Post: February 16th 2008, 04:16 AM
  4. Factor Theorem and Remainder Theorem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 8th 2007, 10:50 AM
  5. factor theorem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 7th 2007, 09:51 PM

Search Tags


/mathhelpforum @mathhelpforum