Factorising GCSE Maths Steps, Examples & Worksheet


FOIL is a method for factoring that involves using the FOIL method of binomial expansion, backwards. FOIL stands for “First Outer Inner Last,” which references the order in which binomials are multiplied using this method. In the context of factoring, the FOIL method is used to help visualize the binomials that make up a polynomial.

Setting a fully factored equation equal to 0 and solving for the variables allows us to find the roots of the equation. Factorising is the reverse process of expanding brackets. To factorise an expression fully, means to put it in brackets by taking out the highest common factors. Each method of factorising or factoring expressions is summarised below.


It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. To factorise the quadratic expression, we are looking for numbers that multiply to -3 and sum to -2 . By considering factor pairs, we conclude that we need to use +1 and -3 . Therefore, we can divide click here for info the original expression by 5 , which means the bracket must contain 2-y . Here is a list of common “Identities” (including the “difference of squares” used above). A good idea when factorising is to multiply out the brackets once you’ve got an answer to find that the answer matches with the question.

When you are factorising quadratics you will usually use the double brackets or difference of two squares method. It is the algebraic equivalent to prime factorization, navigate to these guys where an integer is broken down into a product of prime numbers. Factoring algebraic expressions can be particularly useful for solving equations.

Now, we have to form an expression using the GCF of the given expression. Get in the elevator and the it to floor 3, which is the maintenance floor. Do not select the “waste of time” option when speaking to Maiko. After speaking active to Maiko, you’ll basically be forced out of the office. If you didn’t kill Woodman during the main job, Automatic Love, Judy will ask you to go with her to kill him. You can agree to go with her or talk her down from doing it.

For detailed examples, practice questions and worksheets on each one follow the links to the step by step guides. Here is everything you need to know about factorising for GCSE maths (Edexcel, AQA and OCR). You’ll learn the essentials of factorising expressions and factorising quadratics including factorising into single brackets and double brackets. (2x + 7) cannot be factored any further because they share no common factors. Factoring an expression means writing a numerical or algebraic expression as a product of factors. To factor expressions, we can make use of the distributive property.

Ideally the greatest common factor (GCF) should be used, otherwise the expression will need to be divided multiple times until it can no longer be reduced. Factoring can be relatively simple, or fairly tricky, depending on the expression being factored. There are a number of identities for certain patterns of polynomials that can be used to factor said polynomials. The following steps can be used to factor algebraic expressions. To factorise algebraic expressions there are three basic methods.

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