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 ...

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 ...

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 ...

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.

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 ...

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 ...

Look at the National 4 factorising section before continuing. When a question asks you to 'solve' a quadratic equation, this means that you are to find the roots of the quadratic. In other words ...

Why not try another algebraic expressions quiz? The questions in this quiz are suitable for GCSE maths students studying factorising, using algebra to demonstrate an argument, proof - Higher ...

Using the quadratic formula is another method of solving quadratic equations that will not factorise. You will need to learn this formula, as well as understanding how to use it. Key fact The ...