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factories;
6x(squared)-5x-4

2007-05-05 23:40:55 · 13 answers · asked by Tj 1 in Science & Mathematics Mathematics

13 answers

6x^2 - 5x - 4
= (3x - 4)(2x + 1)

2007-05-05 23:48:50 · answer #1 · answered by Mathematica 7 · 0 1

6x^2-5x-4
=(3x+a)(2x+b)
=6x^2+3bx+2ax+ab

=> We must solve the system of equation:
3b+2a=-5 (1)
and
ab=-4 => b=-4/a (2)

(2) injected in (1) gives:
-12/a+2a=-5
=> 2a^2+5a-12=0
delta=25+96=121=11^2
the 2 solutions for this equation are:
a=(-5-11)/4=-4 => b=1 or
a=(-5+11)/4=3/2 => b=-8/3

There are 2 possible factorisation:

(3x-4)(2x+1)
or
(3x+3/2)(2x-8/3)

At least I tell you the way to get there and I find all the solutions!

2007-05-06 07:12:16 · answer #2 · answered by Rosamonte2000 2 · 0 0

6x^2 -5x -4
=6x^2 -8x +3x - 4
=2x(3x -4) +1(3x -4)
=(3x -4)(2x +1)

2007-05-09 03:11:35 · answer #3 · answered by billako 6 · 0 0

6x² - 5x - 4 = (3x - 4).(2x + 1)

2007-05-06 06:54:04 · answer #4 · answered by Como 7 · 0 0

(2x+1)(3x-4)

the first and second answers give +4 which isnt right and the third give +5x which is wrong as well!

2007-05-06 06:47:44 · answer #5 · answered by Anonymous · 1 0

6x(^2)-5x-4=
(2x+1)(3x-4)

2007-05-06 06:53:19 · answer #6 · answered by Tubby 5 · 0 0

(2x+1)(3x-4)

2007-05-06 06:56:49 · answer #7 · answered by ffordcash 5 · 0 0

(3x-4)(2x+1)

2007-05-06 06:53:52 · answer #8 · answered by nayanmange 4 · 0 0

(3x-4)(2x+1)

2007-05-06 06:50:27 · answer #9 · answered by Anonymous · 0 0

hiya. il try cant guarantee its right cos i did GCSE's 3 years ago !

6x(sqa=uared)-5x-4=
(2x-1)(3x-4)

lol don't know if its right or not..but gave it a try x

2007-05-06 06:45:55 · answer #10 · answered by A$H 4 · 0 3

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