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anonymous

  • one year ago

Factor completely: 6x^2-4x-2

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  1. DanJS
    • one year ago
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    take a 2 out first. 2*(3x^2 - 2x - 1)

  2. anonymous
    • one year ago
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    okay i did that, then i did 2(3x-3x)(x-1)

  3. DanJS
    • one year ago
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    you have factors 3 1 --- 1 1 you need to make a -2 out of that , so +3 and -1

  4. anonymous
    • one year ago
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    explain i dont get it

  5. DanJS
    • one year ago
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    Here you can put in the x terms since 3 and 1 are the only choice 2*(3x )*(x )

  6. DanJS
    • one year ago
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    and the other choice is only 1 and 1 for the others, you just have to decide the sign in each one + or -

  7. DanJS
    • one year ago
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    2*(3x 1 )*(x 1)

  8. DanJS
    • one year ago
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    put in the + or - , so that when you distribute that, you get a -2 on the X term

  9. anonymous
    • one year ago
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    i already put the x terms in as 2(3x-3x)(x-1)

  10. anonymous
    • one year ago
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    what do i do next

  11. welshfella
    • one year ago
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    2*(3x^2 - 2x - 1) = 2( 3x^2 - 3x + x - 1) now factor the expression in the parentheses by grouping

  12. welshfella
    • one year ago
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    first factor 3x^2 - 3x - take 3x out

  13. anonymous
    • one year ago
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    so add 3 to both sides?

  14. triciaal
    • one year ago
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    |dw:1438815014897:dw|

  15. welshfella
    • one year ago
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    no we are not solving an equation 3x^2 - 3x = 3x(x - 1) do you get that?

  16. welshfella
    • one year ago
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    3x is the highest common factor of 3x^2 and 3x

  17. anonymous
    • one year ago
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    oh so its not 2(3x^2-3x) + (x-1)

  18. welshfella
    • one year ago
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    well thats on the way to solving it but we need to factor the first 2 terms first - the 3x^2 - 3x

  19. welshfella
    • one year ago
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    2(3x^2-3x) + (x-1) = 2 ( 3x( x - 1) + 1(x - 1) ) now as (x - 1) is common to the 2 parts = 2 (3x + 1)(x - 1)

  20. welshfella
    • one year ago
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    - thats whats called factoring by grouping - grouping the first 2 terms and the last 2

  21. anonymous
    • one year ago
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    wait so what happened to the 3x^2

  22. welshfella
    • one year ago
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    its was split into 3x and x 3x(x - 1)

  23. welshfella
    • one year ago
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    - that called factroing

  24. anonymous
    • one year ago
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    oh so its still 3x^2. so why did you multiply x-1 on both sides

  25. anonymous
    • one year ago
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    oh wait you didnt

  26. welshfella
    • one year ago
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    because (x - 1) is common to both parts :- 3x( x - 1) + 1(x - 1)

  27. anonymous
    • one year ago
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    how?

  28. welshfella
    • one year ago
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    well its like Ax - A b - you can take A out and the factors are A ( x - b) if A had been (x - 1) we would take (x - 1) out in a similar way

  29. welshfella
    • one year ago
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    do you see the pattern there?

  30. anonymous
    • one year ago
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    so b is -2

  31. welshfella
    • one year ago
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    ??

  32. welshfella
    • one year ago
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    no that was an example of factoring b is just b i could have put any letter i liked there

  33. welshfella
    • one year ago
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    i was illustrating how you can take out common items for an expression in order to factor them What goes in the brackets is what is left after taking out the common item.

  34. welshfella
    • one year ago
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    * from an expression

  35. anonymous
    • one year ago
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    oh okay so the final result is 2(3x+1)-(x-1)

  36. anonymous
    • one year ago
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    oh okay i got how you got 2(3x+1)-(x-1)

  37. welshfella
    • one year ago
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    no there's no - there the 3 parts multiply each other its 2(2x +1(x - 1)

  38. welshfella
    • one year ago
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    gtg its getting late in the UK

  39. anonymous
    • one year ago
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    okay thank u

  40. welshfella
    • one year ago
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    yw

  41. welshfella
    • one year ago
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    I hate MOndays too!!

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