How do you factorise a quadratic equation?

By looking at the equation you see it is made up of three components. The way to factorise it is to multiply the integer or constant at the end by the coefficient of the x 2 term, the number before the x2. This will give you a second integer and from here you should list all the factors of this new integer. Now pay attention the coefficient of the x term in the middle of the equation. Which of the factors add to make this coefficient? You separate the x term with these numbers and then separate the entire equation into two sections. Factorise these individually and you should find that the expression within the brackets is the same on either side. This bracket will be one of the factors of the equation. The other factor will be the term on the outside of the first bracket plus the term outside of the second bracket.

Answered by Sidhi K. Maths tutor

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