AQA Further AS Paper 1 2022 June — Question 2 1 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
Year2022
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicRoots of polynomials
TypeSymmetric functions of roots
DifficultyEasy -1.8 This is a trivial recall question testing the most basic fact about roots of quadratics (αβ = q from Vieta's formulas). The answer is immediate with no calculation needed, and the given expression 'p - p - q - q' simplifies to -2q, making this even more straightforward than a standard recall question.
Spec4.05a Roots and coefficients: symmetric functions

2 The quadratic equation \(x ^ { 2 } + p x + q = 0\) has roots \(\alpha\) and \(\beta\) Which of the following is equal to \(\alpha \beta\) ?
Circle your answer.
[0pt] [1 mark] \(p - p - q - q\)

Question 2:
AnswerMarks Guidance
AnswerMarks Guidance
\(q\)B1 (AO1.2) Circles the correct answer
**Question 2:**

| Answer | Marks | Guidance |
|--------|-------|----------|
| $q$ | B1 (AO1.2) | Circles the correct answer |

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2 The quadratic equation $x ^ { 2 } + p x + q = 0$ has roots $\alpha$ and $\beta$\\
Which of the following is equal to $\alpha \beta$ ?\\
Circle your answer.\\[0pt]
[1 mark]\\
$p - p - q - q$

\hfill \mbox{\textit{AQA Further AS Paper 1 2022 Q2 [1]}}