1. Solving a quadratic by factorisation 6x 2 + 7x – 3 = 0 ac = -18 b = 7 Factors are: -1 +18, +1 -18, +2 -9, -2 + 9, -3 + 6, -6 + 3 Correct pair adding to +7 is: +9 and -2 6x 2 + 9x – 2x -3 = 0 3x(2x +3) -1(2x + 3) = 0 (2x +3) (3x -1) = 0 Put each bracket =0 2x +3 = 03x -1 = 0 X = -1.5x = ⅓ 2 solutions x = ⅓ and -1½

2. Solving a quadratic by factorisation -2x 2 + 5x + 3 = 0 ac = -6 b = 5 Factors are: -1 +6, +1 -6, +2 -3, -2 + 3, Correct pair adding to +5 is: +6 and -1 -2x 2 + 6x –x + 3 = 0 2x(-x + 3) +1(-x + 3) = 0 (2x +1) (-x + 3) = 0 Put each bracket =0 2x +1 = 0-x + 3 = 0 X = -0.5x = 3 2 solutions x = 3 and -½

3. Solving a quadratic by factorisation -2x 2 + 5x + 3 = 0 ac = -6 b = 5 Factors are: -1 +6, +1 -6, +2 -3, -2 + 3, Correct pair adding to +5 is: +6 and -1 -2x 2 + 6x –x + 3 = 0 -2x(x - 3) -1(x - 3) = 0 (-2x -1) (x - 3) = 0 Put each bracket =0 -2x -1 = 0x - 3 = 0 X = -0.5x = 3 2 solutions x = 3 and -½