Results 1 to 9 of 9

Thread: Qustion on the remainder theorem:

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    26

    Qustion on the remainder theorem:

    When P(z) is divided by (z^2) - 3z + z the remainder is 4z-7. Find the remainder when P(z) is divided by:

    a) (z-1)

    b) (z-2)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,734
    Thanks
    2810
    Awards
    1
    Quote Originally Posted by karldiesen View Post
    When P(z) is divided by (z^2) - 3z + z the remainder is 4z-7. Find the remainder when P(z) is divided by:
    a) (z-1)
    b) (z-2)
    Please review this posting. Is that really what the question says?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2009
    Posts
    26
    no, it was just a weird way of writing a quadratic equation!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,734
    Thanks
    2810
    Awards
    1
    Quote Originally Posted by karldiesen View Post
    When P(z) is divided by (z^2) - 3z + z the remainder is 4z-7. Find the remainder when P(z) is divided by:
    a) (z-1)
    b) (z-2)
    Quote Originally Posted by Plato View Post
    Please review this posting. Is that really what the question says?
    Quote Originally Posted by karldiesen View Post
    no, it was just a weird way of writing a quadratic equation!
    I am will to wager that is incorrect.
    I bet that it is $\displaystyle z^2-3z\color{blue}+2$.
    It is the only way to make sense of the question.

    Theorem: If the polynomial $\displaystyle P(x)$ is divided by $\displaystyle x-a$ then the remainder is $\displaystyle P(a)$.

    In this problem we have $\displaystyle P(z)=(z^2-3z+2)Q(z)+(4z-7)$.
    Now use the theorem,
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Sep 2009
    Posts
    26

    Unhappy

    Quote Originally Posted by Plato View Post
    I am will to wager that is incorrect.
    I bet that it is $\displaystyle z^2-3z\color{blue}+2$.
    It is the only way to make sense of the question.

    Theorem: If the polynomial $\displaystyle P(x)$ is divided by $\displaystyle x-a$ then the remainder is $\displaystyle P(a)$.

    In this problem we have $\displaystyle P(z)=(z^2-3z+2)Q(z)+(4z-7)$.
    Now use the theorem,
    You are absolutely correct, that is what I was trying to write. I just didn't know how to write the exponents!

    But I am still stuck! I just can't see how I can get a solution...
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,734
    Thanks
    2810
    Awards
    1
    What are $\displaystyle P(1)~\&~P(2)?$
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Sep 2009
    Posts
    26
    They are equal to the remainder!
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,734
    Thanks
    2810
    Awards
    1
    Quote Originally Posted by karldiesen View Post
    They are equal to the remainder!
    READ
    Theorem: If the polynomial $\displaystyle P(x)$ is divided by $\displaystyle x-a$ then the remainder is $\displaystyle P(a)$.
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Junior Member
    Joined
    Sep 2009
    Posts
    26
    Quote Originally Posted by Plato View Post
    READ
    Theorem: If the polynomial $\displaystyle P(x)$ is divided by $\displaystyle x-a$ then the remainder is $\displaystyle P(a)$.
    Ah, now it is finally clear to me! My head was just making the problem look impossible!

    Thanks alot!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Remainder Theorem
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Mar 12th 2009, 08:40 PM
  2. remainder theorem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Jan 5th 2009, 05:24 AM
  3. remainder theorem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Mar 22nd 2008, 08:32 AM
  4. Factor Theorem and Remainder Theorem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Sep 8th 2007, 10:50 AM
  5. Remainder Theorem
    Posted in the Algebra Forum
    Replies: 6
    Last Post: Mar 21st 2007, 02:14 AM

Search Tags


/mathhelpforum @mathhelpforum