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Pure mathematics

Quick questions on Algebra and functions: surds, quadratics, graphs and transformations - Edexcel A-Level Maths

5short 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 is remainder theorem?
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When f(x)f(x) is divided by (x−a)(x - a), the remainder is f(a)f(a).
What is wrong region for a quadratic inequality?
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(k−3)(k+1)>0(k - 3)(k + 1) > 0 means k<−1k < -1 or k>3k > 3, not −1<k<3-1 < k < 3.
What is q1?
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Solve 2x2−5x−3=02x^2 - 5x - 3 = 0 by factorising. [3 marks]
What is q2?
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Express x2+8x+3x^2 + 8x + 3 in the form (x+a)2+b(x + a)^2 + b. [2 marks]
What is q3?
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Find the set of values of xx for which x2−x−12<0x^2 - x - 12 < 0. [3 marks]

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