Factorise 2x^2+5x - 3

When factorising a quadratic expression the aim is to put the expression into brackets. Step 1: Label each expression as a b c2x2 = a 5x = b -3 = cStep 2: Multiply a with c number 2 * -3 = -6 Step 3: Know you need to find 2 numbers that multiply that will give you -6 and when you add it will give you b (5) X -> -6 + -> 5 -1 * 6 = -6-1 + 6 = 5 The two numbers for the factorisation is -1, 6Step 4: Replace b with -1 and 6 2x^2 -x +6x -3Step 5: Add the brackets (2x^2 -x) + (6x-3) Step 6: Simplify the brackets x(2x-1) + 3(2x-1)Step 7: The numbers in the brackets should be the same, put the into one bracket and the numbers outside the brackets should go into another bracket (2x-1)(x+3)