Factorisation of Algebraic Expressions

This video tutorial introduces the concept of factorising algebraic expressions. It begins with a basic explanation of factorising numbers and algebraic terms, followed by a detailed guide on factorising expressions by identifying the highest common factor. The tutorial includes several examples, ranging from simple to complex expressions, to illustrate the process. The video concludes with a recap and an invitation for viewers to ask questions if needed.

What does it mean to factorise a number?

• To break it into its factors

• To add it to another number

• To multiply it by itself

• To divide it by 2

Which of the following is a factorisation of 3x?

• 3 / x

• 3 - x

• 3 * x

• 3 + x

What is the highest common factor in the expression 3x + 15?

• 1

• 15

• 5

• 3

When factorising 6ab - a^2b, what is the highest common factor?

• a

• 6

• b

• ab

How can you verify the correctness of a factorised expression?

• By dividing the terms

• By expanding it back

• By multiplying the terms

• By adding the terms

In the expression pqr, which letter is a common factor?

• None

• r

• q

• p

What is the highest common factor of 25p^2 and 10p?

• 5

• 10

• 25

• 5p

What is the highest common factor in 6p^4 - 12p?

• 6

• p

• 6p

• 12

What remains after factorising 6p^4 by 6p?

• p^2

• p

• 1

• p^3

What is the purpose of factorising algebraic expressions?

• To change the variables

• To make them more complex

• To simplify and solve equations

• To increase the number of terms