Factorising expressions I 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Further Resources This task is about factorising algebraic expressions. Question a) x2 + 9x + 18 can be factorised to (x + 9)(x + 2) (x – 6)(x + 3) (x + 6)(x + 3) (x – 6)(x – 3) Question b) x2 + 5x + 4 can be factorised to (x + 5)(x + 1) (x + 4)(x + 1) (x + 5)(x – 1) (x + 4)(x – 1) Question c) x2 + x – 12 can be factorised to (x – 4)(x + 3) (x + 6)(x – 2) (x + 4)(x – 3) (x – 6)(x – 2) Question d) x2 – 9x + 20 can be factorised to (x – 4)(x – 5) (x – 10)(x – 2) (x – 5)(x + 4) (x – 10)(x + 2) Question e) x2 – 10x + 21 can be factorised to (x + 7)(x – 3) (x – 7)(x + 3) (x + 7)(x + 3) (x – 7)(x –3) Question f) x2 – 2x – 24 can be factorised to (x + 4)(x - 6) (x – 4)(x + 6) (x – 6)(x – 4) (x + 4)(x + 6) Task administration: This task is completed with pencil and paper and online (with auto-marking). Level: 5 Curriculum info: Maths, Number and Algebra, Equations and expressions Keywords: algebraic expressions, factorise Description of task: Students select the correct factorisation of algebraic expressions. Learning Progression FrameworksThis resource can provide evidence of learning associated with Using symbols and expressions to think mathematically, sets 6-7 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y10 (11/1999) a) C [(x + 6)(x + 3)] easy b) B [(x + 4)(x + 1)] easy c) C [(x + 4)(x - 3)] easy d) A [(x - 4)(x - 5)] moderate e) D [(x - 7)(x - 3)] moderate f) A [(x + 4)(x - 6)] moderate Factorising expressions II Factorising expressions III
