Factorising: WJEC GCSE Higher November 2018 Unit 2 Q13

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Higher November 2018 Unit 2 Q13

WJECHigherCurrent spec5 marksFactorising

13.

(a) Fully factorise the expression \(c^3 - cd^2\). [3]

(b) Factorise and simplify \(5(e - 1)^2 + 3(e - 1)\). [2]

Mark scheme (a)

Scheme	Marks	Comments
\(c(c + d)(c - d)\)	B3	Mark final answer for B3. Award B2 for \((c + d)(c^2 - cd)\) or \((c - d)(c^2 + cd)\) OR allow B2 for \(c(c \ldots d)(c \ldots d)\) OR for sight of \((c + d)(c - d)\). Award B1 for sight of \(c(c^2 - d^2)\).

Mark scheme (b)

Scheme	Marks	Comments
\((e - 1)(5e - 2)\)	B2	B1 for (e – 1)(5(e – 1) + 3) or (e – 1)(5e + k) with k ≠0.

Scheme	Marks	Comments
\(5(e - 1)^2 + 3(e - 1) = 5e^2 - 7e + 2\) \(= (e - 1)(5e - 2)\)	B2	No mark for the expansion and collection of terms. B1 for (e…1)(5e…2) from collection of terms. Award B1 for a correct factorisation, if possible, on FT of ‘their derived quadratic expression’, provided no more than one error. SC1 for an answer of (e – 1)(5e + k) with k ≠ 0.