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