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AS 1 Pure Mathematics

Quick questions on Algebra and functions: indices, surds, quadratics and polynomials - CCEA A-Level Mathematics

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are quadratic equations?
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A quadratic ax2+bx+c=0ax^2 + bx + c = 0 can be solved three ways. Factorising finds two numbers multiplying to acac and adding to bb. Completing the square writes it as a(x+p)2+qa(x + p)^2 + q, which also gives the turning point. The quadratic formula $x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ always works.
What is q1?
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Simplify 72+8\sqrt{72} + \sqrt{8}. [2 marks]
What is q2?
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Solve 2x2−7x+3=02x^2 - 7x + 3 = 0 by factorising. [2 marks]
What is q3?
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Find the set of values of xx for which x2−4x−5≤0x^2 - 4x - 5 \le 0. [3 marks]

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