# What does factorise mean in algebra?

## What does factorise mean in algebra?

Factorising is a way of writing an expression as a product of its factors using brackets. We do this by taking out any factors that are common to every term in the expression. Maths. Algebra.

What does factorise mean example?

Factorising is the reverse of expanding brackets, so it is, for example, putting 2x² + x – 3 into the form (2x + 3)(x – 1). This is an important way of solving quadratic equations. The first step of factorising an expression is to ‘take out’ any common factors which the terms have.

How do you explain factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

### How do you factorise quadratic expressions?

In order to factorise a quadratic algebraic expression in the form ax2 + bx + c into double brackets:

1. Multiply the end numbers together ( a and c ) then write out the factor pairs of this new number in order.
2. We need a pair of factors that + to give the middle number ( b ) and ✕ to give this new number.

How do you factorise simple?

When we factorise an expression it is written as a product of two or more terms, and these will normally involve brackets. To obtain the product of two numbers they are multiplied together. For example the product of 3 and 4 is 3 × 4 which equals 12. The numbers which are multiplied together are called factors.

Why do we study factorization?

Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations, we yield a lot of useful information. There are a lot of different factoring techniques.

#### Why do you factorise in algebra?

Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Factoring is useful in resolving various numbers-related problems.