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Topic: Algebraic Manipulation and Formulae (Higher - Unit 2)

Specification References: N5.2h

N5.2h Factorise quadratic expressions, including the difference of two squares.


Candidates should be able to:

  • factorise quadratic expressions using the sum and product method or by inspection (FOIL)
  • factorise quadratics of the form ax2 + bx + c
  • factorise expressions written as the difference of two squares,

Examples

  1. Factorise x2 - 7x + 10

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  1. Factorise
    1. y2 - 9
    2. 49k2 - m2
    3. 5w2 - 20t2

  2. Factorise 6h2 - 23h - 18

    1. Factorise 2n2 + 5n + 3
    2. Hence, or otherwise, write 253 as the product of two prime factors.