2x+12=2(x+6)
The GCF of 2x and 12 is 2.
(2x+3)(2x+4)
6x2=12 2x-28=?
2x2 + 11x + 12 = 2x2 + 3x + 8x + 12 = x*(2x + 3) + 4*(2x + 3) = (2x + 3)*(x + 4)
You can factor it, if you consider that simpler.
(5x - 4)(2x + 3)
(2x - 3)(x - 12)
2x^(2) - 5x - 12 First write down all the factors of '2' & '12' 2 = 1,2 12 = 1,12; 2,6; 3,4 . From this we select two pairs of numbers, one pair from each coefficient, that add/multiply to '5' They are, 1,2 & 3,4 Hence -(2 x 4) + (1 x 3) = -8 + 3 = -5 Set up the brackets (2x 3)(x 4) Hence the signs are ( 2x + 3)(x - 4)
x2+2x-120 = (x+12)(x-10) when factored
12x^2+24x+12 12(x^2+2x+1) 12(x+1)^2
(x - 4)(2x + 3)
2(x^2 + 2)(x + 3)