Results 1 to 5 of 5
Like Tree1Thanks
  • 1 Post By skeeter

Math Help - A couple Algebra 1 problems (polynomial division, mixture problem)

  1. #1
    Newbie
    Joined
    Apr 2012
    From
    california
    Posts
    2

    Question A couple Algebra 1 problems (polynomial division, mixture problem)

    Divide. (x^3 - 3x^2 + 3x + 1) divided by (x - 2)

    A solution containing 20% acid is mixed with a solution containing 10% acid to make 200 liters of a solitution containing 12% acid. How much of the 10% solution was used?

    Also... would √(t-2)^2 be just t-2 or the absolute value of t-2?
    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426

    Re: A couple Algebra 1 problems (polynomial division, mixture problem)

    Quote Originally Posted by Tsuzuku View Post
    Divide. (x^3 - 3x^2 + 3x + 1) divided by (x - 2)

    use synthetic division

    A solution containing 20% acid is mixed with a solution containing 10% acid to make 200 liters of a solitution containing 12% acid. How much of the 10% solution was used?

    (200-x)(.20) + x(.10) = 200(.12)

    solve for x


    Also... would √(t-2)^2 be just t-2 or the absolute value of t-2?

    √(t-2)^2 = |t-2|
    ...
    Thanks from HallsofIvy
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2012
    From
    california
    Posts
    2

    Re: A couple Algebra 1 problems (polynomial division, mixture problem)

    Quote Originally Posted by skeeter View Post
    ...
    what is synthetic division
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426

    Re: A couple Algebra 1 problems (polynomial division, mixture problem)

    Quote Originally Posted by Tsuzuku View Post
    what is synthetic division
    Synthetic Division
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,973
    Thanks
    1121

    Re: A couple Algebra 1 problems (polynomial division, mixture problem)

    If you don't know "synthetic division", just use regular division (synthetic division is really just a short cut). How many times does x divide into x^3? Now, just as you do in division of numbers multiply that quotient by the divisor, x- 2, and subtract from x^3- 3x^3- 3x+ 1 to get the next dividend and continue.

    "A solution containing 20% acid is mixed with a solution containing 10% acid to make 200 liters of a solution containing 12% acid. How much of the 10% solution was used?"
    Let x be the amount of 10% solution. Then 200- x is the amount of 20% solution. The amount of acid in the 10% solution is .1x and the amount of acid in the 20% solution is .2(200- x)= 40- .2x so the total amount of acid is .1x+ 40- .2x= 40- .1x. The amount of acid in 200 liters of 12% solution is .12(200)= 24 so you must have 40- .1x= 24. Solve for x.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: July 24th 2010, 02:32 AM
  2. A couple of algebra problems...
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 22nd 2008, 10:08 AM
  3. Algebra 1 Mixture Word Problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 11th 2007, 02:41 PM
  4. A couple of Matrix Algebra Problems
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 17th 2007, 06:49 PM
  5. Replies: 10
    Last Post: May 3rd 2007, 09:32 AM

Search Tags


/mathhelpforum @mathhelpforum