Higher November 2019 Paper 1 Q13
13
(a) Write \(\dfrac{5}{x+1} + \dfrac{2}{3x}\) as a single fraction in its simplest form. (2)
(b) Factorise \((x + y)^2 + 3(x + y)\) (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{17x + 2}{3x(x + 1)}\) | M1 | for a correct common denominator with at least one correct numerator eg. \(\dfrac{5 \times 3x}{3x(x+1)} + \dfrac{2(x+1)}{3x(x+1)}\) |
| A1 | for a single simplified fraction, eg. \(\dfrac{17x+2}{3x(x+1)}\) or equivalent eg. \(\dfrac{17x+2}{3x^2+3x}\) |
Additional guidance
\(\dfrac{15x+2(x+1)}{3x(x+1)}\) gets M1 only
| Answer | Mark | Mark scheme |
|---|---|---|
| \((x + y)(x + y + 3)\) | B1 | cao |