Foundation June 2023 Paper 3 Q25
25
(a) Factorise \(\quad x^2 + 8x + 15\) [2 marks]
(b) Write down the two solutions of \(\quad (y + 2)(y - 4) = 0\) [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \((x + 3)(x + 5)\) | B2 | either order B1 \((x + a)(x + b)\) where \(ab = 15\) or \(a + b = 8\) |
Additional guidance
| Accept \(1x\) for \(x\) throughout | |
| \((3 + x) \times (x + 5)\) | B2 |
| Condone missing final bracket eg \((5 + x)(3 + x\) | B2 |
| Ignore any attempt to solve \((x + 3)(x + 5) = 0\) eg \((x + 3)(x + 5)\) followed by \(x = 3\), \(x = 5\) | B2 |
| Answer | Mark | Comments |
|---|---|---|
| \((y =)\ {-2} \qquad (y =)\ 4\) | B1 | either order |
Additional guidance
| Accept any letter eg \(x = -2 \quad x = 4\) | B1 |
| \(-2\) and 4 on the answer line | B1 |
| \(-2\) and 4 written separately in the stem unless contradicted by answer line | B1 |
| \(-2\) and 4 written with \((-2 + 2)(4 - 4)\) unless contradicted by answer line | B1 |
| \((-2 + 2)(4 - 4)\) on answer line | B0 |
| \((-2 + 2)(4 - 4)\) even if \(-2\) and 4 circled or indicated as the embedded values | B0 |