X2 + 2X - 35
What two factors of - 35 add up to 2?
(X - 5)(X + 7)
-----------------
(2x-3)(x-1)
(x - 2)(2x + 7)
(x - 1)(3x + 5)
(2x - 9)(2x - 9) or (2x - 9)2
(2x - 1)(x + 4)
(2x - 5) is a binomial factor
(x - 2)(2x + 7)
(2x - 3)(x + 2)
(2x-3)(x-1)
(x - 1)(2x - 9)
(x - 1)(3x + 5)
(2x - 9)(2x - 9) or (2x - 9)2
(2x - 1)(x + 4)
(x - 2)(2x - 3)
There is no rational factorisation.
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)
(3x - 1)(2x - 7)