Results 1 to 3 of 3

Math Help - How do you Square a polynomial?

  1. #1
    Newbie
    Joined
    Dec 2008
    Posts
    10

    How do you Square a polynomial?

    Antiderivatives / Volumes - 5

    click on Ex. number 2. They square the polynomial x^3 -x + 1.

    I have tried FOIL, no luck though.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Sep 2007
    Posts
    46
    Thanks
    1
    Hello. I am at school and the website is refusing to open for me but I will show you how to square the polynomial using the FOIL method.

    The polynomial we are squaring is x^3 -x + 1.
    In order to square something, we multiply it by itself. (x^3 -x + 1)(x^3 -x + 1)
    All you do now is multiply each term in the first bracket by each term of the 2nd bracket so
    x^6-x^4+x^3-x^4+x^2-x+x^3-x+1
    Now we collect like terms
    x^6-2x^4+2x^3+x^2-2x+1
    And thats your answer =D
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    Quote Originally Posted by Math Blaster View Post
    They square the polynomial x^3 -x + 1.

    I have tried FOIL, no luck though.
    "FOIL" only works in the single context of multiplying two binomials. If either polynomial is not a binomial, then FOIL won't work.

    To learn how to do this, try this lesson on multiplying polynomials.

    Using the "vertical" method would probably work best, so, after studying the lesson and learning the general method, set up your exercise as:

    [HTML]set-up:

    x^3 - x + 1
    x^3 - x + 1
    ------------------------[/HTML]
    (Note how space was left for any "x-squared" terms that might crop up.) Then multiply from the right-hand side of the lower polynomial against the the upper polynomial. So the first step would be:

    [HTML]first multiplication:

    x^3 - x + 1
    x^3 - x + 1
    ------------------------
    x^3 - x + 1[/HTML]
    Then multiply the "-x" through:

    [HTML]second multiplication:

    x^3 - x + 1
    x^3 - x + 1
    ------------------------
    x^3 - x + 1
    -x^4 + x^2 - x[/HTML]
    Do the last multiplication, draw another "equals" bar across the bottom, and then add down, to find your answer.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: July 2nd 2011, 07:03 PM
  2. Replies: 3
    Last Post: January 22nd 2010, 10:34 PM
  3. Replies: 6
    Last Post: November 3rd 2009, 12:31 PM
  4. Replies: 1
    Last Post: October 28th 2009, 12:37 PM
  5. Integrating the square root of a polynomial
    Posted in the Calculus Forum
    Replies: 17
    Last Post: October 7th 2009, 07:53 PM

Search Tags


/mathhelpforum @mathhelpforum