How to factorise a quadratic

First, show how to multiply out two brackets, and the structure of such a question.When given a quadratic, such as x^2 + 4x - 32 (x+8)(x-4)to solve this, first making a list of factors of 32 is important. So, 32 and 1, 16 and 2, 8 and 4Which of these pairs of numbers can be manipulated by addition or subtraction to give 4?How would these be presented in the brackets to be multiplied out correctly?