Results 1 to 3 of 3

Math Help - Three more polynomial questions

  1. #1
    Newbie haflore's Avatar
    Joined
    Feb 2008
    Posts
    18

    Three more polynomial questions

    hello again I need confirmation on some questions please!

    "Simplify each of the following fractions. If they are already simplified say so.

    1) a^2-2ab+b^2/a-b[my answer was: already simplified]

    2) a^2-2ab+b^2/a+b[my answer was: already simplified]

    ------------
    "Some students simplify 2x^2-32/x-4 as 2x-8.

    Choose values of x to show that this is not true.Then simplify it correctly."

    I answered: Any value of x proves them incorrect. my simplification was:2x+8

    thanks for all your help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Reckoner's Avatar
    Joined
    May 2008
    From
    Baltimore, MD (USA)
    Posts
    1,024
    Thanks
    75
    Awards
    1

    Smile

    Quote Originally Posted by haflore View Post
    Simplify each of the following fractions. If they are already simplified say so.

    1) a^2-2ab+b^2/a-b[my answer was: already simplified]

    2) a^2-2ab+b^2/a+b[my answer was: already simplified]
    Do you mean \frac{a^2 - 2ab + b^2}{a\pm b}? If so, please mind the standard order of operations and use parentheses where appropriate to make your notation clearer.

    Number one can be simplified, but you will need to place a restriction on a \text{ and } b. Here's a hint: factor the numerator.

    Quote Originally Posted by haflore View Post
    "Some students simplify 2x^2-32/x-4 as 2x-8.

    Choose values of x to show that this is not true.Then simplify it correctly."

    I answered: Any value of x proves them incorrect. my simplification was:2x+8

    thanks for all your help!
    \frac{2x^2-32}{x-4} = \frac{2(x + 4)(x - 4)}{x - 4} = 2x + 8,\;x\neq4

    So, your answer is correct, provided that you make the restriction that x\neq4.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie haflore's Avatar
    Joined
    Feb 2008
    Posts
    18
    Thanks for your help Reckoner...

    Quote Originally Posted by Reckoner View Post
    Do you mean \frac{a^2 - 2ab + b^2}{a\pm b}? If so, please mind the standard order of operations and use parentheses where appropriate to make your notation clearer.
    I posted that question exactly as presented in the text.

    Thanks again
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Polynomial function questions~
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: December 8th 2011, 04:04 PM
  2. Polynomial questions
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: May 11th 2011, 04:21 AM
  3. Polynomial questions
    Posted in the Algebra Forum
    Replies: 4
    Last Post: January 14th 2011, 05:47 PM
  4. two polynomial questions
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 28th 2008, 09:52 AM
  5. Another polynomial questions
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 12th 2008, 10:17 AM

Search Tags


/mathhelpforum @mathhelpforum