LOWER TIER a) Multiply the following out: (x+3)(x-4). b) Factorise the following equation into two bracket form: x^2+7x+12

a) Use FOIL to multiply out these bracketsF: x²O: -4xI: +3xL: -12 x²-4x+3x-12 = x²-x-12b) Find two common numbers that ADD UP to give +7, and MULTIPLY TOGETHER to give 12MULTIPLY TO 121 and 122 and 63 and 4ADD TO 71 and 62 and 53 and 4Then split the original equation according to this pair: x²+7x+12 = x²+3x+4x+12Then, factorise each half: x²+3x+4x+12 = x(x+3) + 4(x+3)Finally, split this up into two brackets to give the answer: (x+3)(x+4)