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 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 algebra?

  It simplifies expressions for easier calculations
• What is the process to factorise the expression 6ab - a²b?

  • Identify common factors: ab
  • Factor out ab: ab(6 - a)
• What is the highest common factor of 6ab and a²b?

  ab
• How can you verify your factorisation is correct?

  Expand it back to the original expression
• How do you factorise the expression pqr + qrt - sw?

  • Identify common factor: q
  • Factor out q: q(pr + rt - s)
• What is the highest common factor in the expression 25p² - 10p?

  5p
• How do you factorise 25p² - 10p?

  Factor out 5p, resulting in 5p(5p - 2)
• What is the process to factorise 6p⁴ - 12p?

  • Identify common factors: 6p
  • Factor out 6p: 6p(p³ - 2)
• What is the highest common factor of 6 and 12?

  6
• How do you factorise 6p⁴ - 12p?

  Factor out 6p, resulting in 6p(p³ - 2)
• What are the steps to factorise an algebraic expression?

  1. Identify common factors
  2. Factor out the highest common factor
  3. Write the remaining expression in brackets
  4. Verify by expanding back