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How would you factor the following?

xˆ2 - 4x - 12????

2007-08-24 05:48:47 · 17 answers · asked by Anonymous in Science & Mathematics Mathematics

17 answers

(x+a)(x+b): ab = -12 and a+b = -4 ==> -6, +2, so
(x+2)(x-6)

2007-08-24 05:52:30 · answer #1 · answered by John V 6 · 3 1

What two numbers are factors of -12 and add to -4?
The answer is -6 and +2.

So,
x^2 - 4x - 12 = (x - 6)(x + 2)

Use FOIL to verify that this is correct:

x^2 +2x - 6x -12 = x^2 -4x - 12

2007-08-24 05:52:51 · answer #2 · answered by Larry C 3 · 0 0

x^2-4x-12 =
first, get the factors of -12 in order to get -4; and the factors of -12 that would result into -4 are -6 and +2.
hence,
x^2-4x-12 = (x-6)(x+2)
x^2-4x-12 = x^2-6x+2x-12
x^2-4x-12 = x^2-4x-12

2007-08-24 06:15:30 · answer #3 · answered by cehLina 2 · 0 0

Sweetie its (x + 2)(x - 6)

if the problem is x^2 - 4x - 12= 0

the answer would be -2 and 6

2007-08-24 05:53:54 · answer #4 · answered by xbbysweetness 3 · 0 0

x^2-4x-12
=x^2-6x+2x-12
=x(x-6)+2(x-6)
=(x-6)()x+2). ANS.

2007-08-24 06:03:02 · answer #5 · answered by Anonymous · 0 0

peace of cake! here is a quick tip!
what 2 numbers multiplied together give u -12 but when u subtract or add them they give u -4?

(x-6)(x+2) this only works for trinomials, sometimes! when u multiply out (x-6)(x+2) it is the same as x^2-4x-12!

2007-08-24 06:09:14 · answer #6 · answered by cupcake 3 · 0 0

x^2-4x-12
=(x-6)(x+2)

x=6 or x =-2

2007-08-24 05:58:14 · answer #7 · answered by sleeping_beauty1976 2 · 0 0

so you have x^2 -4x- 12
so you ask youself : what are factors of 12 that equal -4? it would be -6 and 2. ( -6+2=-4) so
(x-6)(x+2) would be your answer
if you distribute this ( to check yourself ) it would equal
x^2 -4x -12

2007-08-24 05:54:12 · answer #8 · answered by Anonymous · 0 0

(x - 6) (x + 2)
Check
x(x + 2) - 6 (x + 2)
x² + 2x - 6x - 12
x² - 4x - 12 (as required)

2007-08-24 06:36:54 · answer #9 · answered by Como 7 · 0 0

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

Group factor


(x² - 6x) + (2x - 12) = 0

x(x - 6)+ 2(x - 6) = 0

(x + 2)(x - 6) = 0

- - - - - - - - s-

2007-08-24 06:45:53 · answer #10 · answered by SAMUEL D 7 · 0 0

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