(18x^(2) - 3x)
'3x' is a common factor to both terms , so 'take it out'.
Hence
3x(6x - 1)
Fully factored.
6xyz(3x + 2y + z)
3x2-x-2 = (3x+2)(x-1)
It is: (2x+3)(3x-8) when factored
20x2 - 3x + 10 does not have any real factors.
(x - 6)(x + 9)
(x + 2)(3x - 1)(3x + 1)
3x squared minus 25x minus 28
(6x + t)(3x + t)
3x3+15x2+18x = 3x(x2+5x+6) = 3x(x+2)(x+3)
6xyz(3x + 2y + z)
x(3x - 2)
(x-3)(3x+1)
(3x + 1)(x - 5)
(3x + 8)(3x - 8)
3x^(2) +9x - 2x -6 Collect 'like terms'. Hence 3x^(2) + 7x - 6 Next write down all the factors of '3' and '6' Hence 3 ; 1' & 3' 6 ; 1,6 ; 2,3. From these pairs of number we select a pair from each coefficient, that add/multiply to '7' . Hence (3' x 3 ) & (1' x 2) ; NB 'dashes' (') to indicate source of numbers. Write up brackets (3x 2)(x 3) -2)(x + 3) Next we notice that the '6' is negative, so the two signs are different (+/-) The '7x' is positive , so the larger number takes the positive sign . Hence (3x - 2)(x + 3)
9x2 + 18x - 16 = 0 ⇒ (3x - 2)(3x + 8) = 0 ⇒ 3x - 2 = 0 → x = 2/3 or 3x + 8 = 0 → x = -22/3
3x2-x-2 = (3x+2)(x-1)