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careless850

Simplify.. again!

  • one year ago
  • one year ago

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  1. karatechopper
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    what to simplify?

    • one year ago
  2. careless850
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    \[\frac {x^{2}-12x+20}{x-10}\]

    • one year ago
  3. phi
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    you have to factor the top.

    • one year ago
  4. careless850
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    So, it'd be, x - 3x + 5?

    • one year ago
  5. phi
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    list the factors of the 3rd number 20 1,20 2,10 4,5 do any add up to 12 if so, that is the pair to use. the sign of the 2nd number (-12) tells you to make the factors negative I would use (x-2)(x-10)

    • one year ago
  6. careless850
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    Alright.. I didn't know about that part.

    • one year ago
  7. phi
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    once you have it factored up top, we can cancel the (x-10) from top and bottom

    • one year ago
  8. careless850
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    but wait..

    • one year ago
  9. careless850
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    What if I don't know the factors with numbers?

    • one year ago
  10. phi
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    I think that means you have to practice.... Here is a video, when you have time http://www.khanacademy.org/math/algebra/polynomials/v/factoring-quadratic-expressions

    • one year ago
  11. careless850
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    but I'm Simplifying Algebraic Ratios

    • one year ago
  12. phi
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    That means they think you know algebra, including factoring quadratics

    • one year ago
  13. careless850
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    Would the answer be x-2?

    • one year ago
  14. phi
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    yes. you can test the answer pick a simple number like x=0. If your answer is correct (x-2) with x=0 is 0-2= -2 replace x=0 into the original problem: and you get 20/-10= -2 It matches!

    • one year ago
  15. careless850
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    I see. And I lied about the factoring thing, I can factor numbers that are even or divisible by 5

    • one year ago
  16. phi
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    If the video helps, notice that Khan has LOTS of videos on pretty much any topic you might have a question on.

    • one year ago
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