Factorise 4x+6x^2
This is factorisation by common factor, so we need to write 4x+6x2 as a product. First we need to find the highest common factor of 4x and 6x2 so that we can take it out, which in this case is 2x, so we have 4x + 6x2 = 2x(+). Next we need to find out what we have to multiply 2x by in order to get 4x (it's 2) ,and again in order to get 6x2, (it's 3x). This is what we put into the spaces in the brackets, so we get 4x +6x2 = 2x(2+3x).Always multiply out the brackets again to check your answer. 2x(2+3x) = (2x x 2) + (2x x 3x) = 4x + 6x2
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