Expand and Factorise Quadratics Things to remember: Use FOIL outside, inside, last) or the grid method (for multiplication) to expand brackets. For any quadratic ax² + bx + c = 0, find a pair of numbers with a sum of b and a product of ac to factorise. Questions: 1. Expand and simplify (m + 7)(m + 3) …………………………………… (Total for question = 2 marks) 2. (a) Factorise 6 + 9x …………………………………… (1) (b) Factorise y2 16 – …………………………………… (1) (c) Factorise 2p2 p 10 – – …………………………………… (2) (Total for Question is 4 marks) 3. Solve, by factorising, the equation 8x2 30x 27 = 0 – – …………………………………… (Total for Question is 3 marks)
Expand and Factorise Quadratics Things to remember: Use FOIL outside, inside, last) or the grid method (for multiplication) to expand brackets. For any quadratic ax² + bx + c = 0, find a pair of numbers with a sum of b and a product of ac to factorise. Questions: 1. Expand and simplify (m + 7)(m + 3) …………………………………… (Total for question = 2 marks) 2. (a) Factorise 6 + 9x …………………………………… (1) (b) Factorise y2 – 16 …………………………………… (1) (c) Factorise 2p2 – p – 10 …………………………………… (2) (Total for Question is 4 marks) 3. Solve, by factorising, the equation 8x2 – 30x – 27 = 0 …………………………………… (Total for Question is 3 marks)
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