anonymous
  • anonymous
Factor completely: 6x^2-4x-2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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DanJS
  • DanJS
take a 2 out first. 2*(3x^2 - 2x - 1)
anonymous
  • anonymous
okay i did that, then i did 2(3x-3x)(x-1)
DanJS
  • DanJS
you have factors 3 1 --- 1 1 you need to make a -2 out of that , so +3 and -1

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anonymous
  • anonymous
explain i dont get it
DanJS
  • DanJS
Here you can put in the x terms since 3 and 1 are the only choice 2*(3x )*(x )
DanJS
  • DanJS
and the other choice is only 1 and 1 for the others, you just have to decide the sign in each one + or -
DanJS
  • DanJS
2*(3x 1 )*(x 1)
DanJS
  • DanJS
put in the + or - , so that when you distribute that, you get a -2 on the X term
anonymous
  • anonymous
i already put the x terms in as 2(3x-3x)(x-1)
anonymous
  • anonymous
what do i do next
welshfella
  • welshfella
2*(3x^2 - 2x - 1) = 2( 3x^2 - 3x + x - 1) now factor the expression in the parentheses by grouping
welshfella
  • welshfella
first factor 3x^2 - 3x - take 3x out
anonymous
  • anonymous
so add 3 to both sides?
triciaal
  • triciaal
|dw:1438815014897:dw|
welshfella
  • welshfella
no we are not solving an equation 3x^2 - 3x = 3x(x - 1) do you get that?
welshfella
  • welshfella
3x is the highest common factor of 3x^2 and 3x
anonymous
  • anonymous
oh so its not 2(3x^2-3x) + (x-1)
welshfella
  • welshfella
well thats on the way to solving it but we need to factor the first 2 terms first - the 3x^2 - 3x
welshfella
  • welshfella
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)
welshfella
  • welshfella
- thats whats called factoring by grouping - grouping the first 2 terms and the last 2
anonymous
  • anonymous
wait so what happened to the 3x^2
welshfella
  • welshfella
its was split into 3x and x 3x(x - 1)
welshfella
  • welshfella
- that called factroing
anonymous
  • anonymous
oh so its still 3x^2. so why did you multiply x-1 on both sides
anonymous
  • anonymous
oh wait you didnt
welshfella
  • welshfella
because (x - 1) is common to both parts :- 3x( x - 1) + 1(x - 1)
anonymous
  • anonymous
how?
welshfella
  • welshfella
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
welshfella
  • welshfella
do you see the pattern there?
anonymous
  • anonymous
so b is -2
welshfella
  • welshfella
??
welshfella
  • welshfella
no that was an example of factoring b is just b i could have put any letter i liked there
welshfella
  • welshfella
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.
welshfella
  • welshfella
* from an expression
anonymous
  • anonymous
oh okay so the final result is 2(3x+1)-(x-1)
anonymous
  • anonymous
oh okay i got how you got 2(3x+1)-(x-1)
welshfella
  • welshfella
no there's no - there the 3 parts multiply each other its 2(2x +1(x - 1)
welshfella
  • welshfella
gtg its getting late in the UK
anonymous
  • anonymous
okay thank u
welshfella
  • welshfella
yw
welshfella
  • welshfella
I hate MOndays too!!

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