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Christos

  • 2 years ago

Factor 15x^2 - 37x + 20

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  1. hartnn
    • 2 years ago
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    do you know how to generally factor a quadratic ?

  2. Christos
    • 2 years ago
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    I know some methods but I guess I miss this one

  3. hartnn
    • 2 years ago
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    for \(ax^2+bx+c\), you need to find 2 numbers with sum = b and product = ac so, for your question, you need to find 2 numbers with sum =-37 and product = 20*15 = 300

  4. Christos
    • 2 years ago
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    I see now :)

  5. hartnn
    • 2 years ago
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    so which 2 numbers u get ? then split -37x accordingly...

  6. Christos
    • 2 years ago
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    I got -20 and -15 what now?

  7. hartnn
    • 2 years ago
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    good! split -37x as -20x-15x so, you have \(15x^2-15x-20x+20\) there's a common factor in 1st 2 terms and a common factor in last 2 terms, can you proceed ?

  8. hartnn
    • 2 years ago
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    oh wait, -20 and -15 are incorrect :P

  9. Christos
    • 2 years ago
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    Yea :S

  10. hartnn
    • 2 years ago
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    try another pair ?

  11. Christos
    • 2 years ago
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    -12 -25 ?

  12. hartnn
    • 2 years ago
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    bingo! split -37x as -25x-12x so, you have \(15x^2−25x−12x+20\) there's a common factor in 1st 2 terms and a common factor in last 2 terms, can you proceed ?

  13. Christos
    • 2 years ago
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    x(x15-25)4(3x + 5)

  14. hartnn
    • 2 years ago
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    from first 2 terms factor out 5x

  15. Christos
    • 2 years ago
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    5x(3x - 5) - 4(3x + 20)

  16. hartnn
    • 2 years ago
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    -12x+20 = -4 (3x+.....?)

  17. Christos
    • 2 years ago
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    its 5 sorry

  18. hartnn
    • 2 years ago
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    +5 or -5 ?

  19. Christos
    • 2 years ago
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    -5

  20. hartnn
    • 2 years ago
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    so, now factor 3x-5 from that

  21. Christos
    • 2 years ago
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    What do you mean? I dont understand :SS

  22. hartnn
    • 2 years ago
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    5x (3x-5) -4(3x-5) factor out 3x-5 (3x-5)(5x-4) i meant this, and you're done

  23. LadyKatsaTheGraceling
    • 2 years ago
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    Bonjour! Comment allez vous?

  24. hartnn
    • 2 years ago
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    i am fine, do u need any help ? with what ?

  25. LadyKatsaTheGraceling
    • 2 years ago
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    You are very good at teaching people

  26. hartnn
    • 2 years ago
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    oh, thank you very much :) :D

  27. some_someone
    • 2 years ago
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    \[15x^2 - 37x + 20 \] \[(3 x-5) (5 x-4)\]

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