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careless850

  • 3 years ago

Simplify.. again!

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  1. karatechopper
    • 3 years ago
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    what to simplify?

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

  3. phi
    • 3 years ago
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    you have to factor the top.

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

  5. phi
    • 3 years ago
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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)

  6. careless850
    • 3 years ago
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    Alright.. I didn't know about that part.

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

  8. careless850
    • 3 years ago
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    but wait..

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

  10. phi
    • 3 years ago
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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

  11. careless850
    • 3 years ago
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    but I'm Simplifying Algebraic Ratios

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

  13. careless850
    • 3 years ago
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    Would the answer be x-2?

  14. phi
    • 3 years ago
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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!

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

  16. phi
    • 3 years ago
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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.

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