math

• What is factorising in mathematics?

  Breaking something into its factors
• How would you factorise the number 55?

  5 times 11 or 1 times 55
• What are the factors of the algebraic term 3x?

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

  3
• How do you factorise the expression 3x + 15?

  Take out 3, resulting in 3(x + 5)
• Why is factorising useful in mathematics?

  It simplifies expressions and helps with fractions
• What is the process of factorising an expression with multiple terms?

  1. Identify the highest common factor (HCF)
  2. Divide each term by the HCF
  3. Write the HCF outside the brackets
  4. Place the remaining terms inside the brackets
• What are the factors of 6ab?


  6, a, and b
• What is the highest common factor of 6ab and a²b?

  ab
• What remains in the brackets after factorising 6ab - a²b?


  6 - a
• How can you verify the correctness of your factorisation?

  Expand it back to the original expression
• What is the common factor in the expression pqr?


  q
• What do you do with the remaining letters after taking out the common factor q from pqr?

  Put pr and rt in brackets
• What is the highest common factor of 25p² and 10p?

  5p
• What do you get when you factorise 25p² - 10p?

  5p(5p - 2)
• What is the highest common factor of 6p⁴ and 12p?

  6p
• What remains after factorising 6p⁴ - 12p?

  p³ - 2
• What are the steps to factorise an expression with higher indices?

  1. Identify the highest common factor
  2. Factor out the common factor
  3. Simplify the remaining expression
  4. Ensure correct handling of indices
• What is the final factorised form of 6p⁴ - 12p?

  6p(p³ - 2)
• The product of two numbers is the result obtained when they are multiplied together.
• To find the factors of a number, we need to divide it by all possible whole numbers from 1 to itself (inclusive).