axx+bx+c 2xx+7x+6
a=2
b=7
c=6
Multiply a and c:
2*6=12
Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):
12=2*2*3
12=4*3, -4*-3
12=6*2, -6*-2
Rewrite axx+bx+c into axx+dx+ex+c:
2xx+7x+6
2xx+4x+3x+6
Factor sets of terms (ie axx+dx, and ex+c):
2xx+4x+3x+6
2x(x+2)+3(x+2)
Combine like terms:
2x(x+2)+3(x+2)
(x+2)(2x+3)
x2+7x=-2x2+6 3x2+7x-6=0 (3x-2)(x+3)=0 3x-2=0 or x+3=0 x=2/3 or x=-3
x2 + 7x + 6 = (x + 6) (x + 1)
-7x + 6 + 7x - 2 = 4
4x2 + 14x + 12 = 2(2x2 + 7x + 6) = 2(2x + 3)(x + 2)
-((2x + 7)(x - 6))
You would factor 2x2 + 7x + 6 into (2x + 3) (x+2)
x2 + 7x = 2x2 + 6 x2 - 2x2 + 7x = 6 -x2 +7x - 6 = 0 or alternatively x2 - 7x + 6 = 0
2x2-4x-3x+6 2x2-7x+6 (2x+3)(x+2)
2x2 + 7x + 6 = 2x2 + 4x + 3x + 6 = 2x(x + 2) + 3(x + 2) = (x + 2)(2x + 3)
x2+7x=-2x2+6 3x2+7x-6=0 (3x-2)(x+3)=0 3x-2=0 or x+3=0 x=2/3 or x=-3
x2 + 7x + 6 = (x + 6) (x + 1)
It is: 2x2-7x+6 = (2x-3)(x-2) when factored
20x3 - 70x2 + 60x = 10x(2x2 - 7x + 6) = 10x(2x - 3)(x - 2).
49x2 - 84x + 36 = (7x - 6)(7x - 6) or (7x - 6)2
2(x + 6)(x + 3)
2(x^2 +2x + 3)
It is: (x+1)(x+6) when factored