To check your answer when factorising multiply out the brackets to find if the answer matches with the question. If it doesn't, then you'll know there's something wrong. The first thing to do is ...

In a quadratic expression, the highest power of \(x\) is \(x^2\). Factorise \(x^2 + 7x + 10\). To factorise this expression, find two numbers that have a product of +10 and a sum of +7.

Factorising an expression means finding the factors that multiply together to give that expression. For \(\mathbf{x^2 + 5x + 6}\), the first step is to find two numbers whose sum is 5 and whose ...

To factorise an expression, we need to take out any factors that are common to each term. The process is the opposite of expanding brackets. We need to find the HCF of \(\text{10x}\) and \(\text ...

But a common mistake in factorising is picking any two factors that multiply to give the constant, like 1 and 10 for 10, and assuming the expression can be written as 𝑥 plus 1, 𝑥 plus 10.

Simplify \(\frac{3t + 6}{3t}\). The numerator of this fraction will factorise as there is a common factor of 3. This gives \(\frac{3(t + 2)}{3t}\). Now, there is clearly a common factor of 3 ...

A polynomial is a chain of algebraic terms with various values of powers. There are some words and phrases to look out for when you're dealing with polynomials: \(6{x^5} - 3{x^2} + 7\) is a ...

Find your added subjects in My Bitesize. Try this quiz based on GCSE ... quiz is suitable for GCSE maths students studying factorising, using algebra to demonstrate an argument, and proof.

Find your added subjects in My Bitesize. Try this quiz based on GCSE ... quiz is suitable for GCSE maths students studying factorising, using algebra to demonstrate an argument, and proof.