2026 EVG P2 Q1

2026 EVG P2 Q1

Secondary 4
11 marks
  1. Write \(\dfrac3{x^2-6x+8}+\dfrac1{4-x}-1\) as a single fraction in its simplest form.[3]
  2. Find all the integers that satisfy \(-4\leq\dfrac{1-3x}{5}<\dfrac23\).[3]
  3. Express \(11-5x+x^2\) in the form \(p+(x+q)^2\).[2]
  4. It is given that \(A=50p^3q-2pq\).
    1. Factorise A completely.[2]
    2. Express q in terms of A and p.[1]

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Answer:(a) \((-x^2+5x-3)/[(x-2)(x-4)]\). (b) 0,1,2,3,4,5,6,7. (c) \(19/4+(x-5/2)^2\). (d) \(2pq(5p-1)(5p+1)\); \(q=A/[2p(5p-1)(5p+1)]\).

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