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In this paper of “Further Pure Mathematics 1”, each question is fully solved, and all the steps are explained with relevant calculations and/or comments and diagrams.
Attention was given to the specific requirements of all the topics involved, namely “Vectors”, “Properties of the roots of polynomials”, “Proof by induction”, “Method of differences”, “Matrices and geometric transformations”, “Polar coordinates” and “Rational functions and their graphs”.
Additionally, there were also algebraic techniques which were used and are part of the regular A-Level syllabus for mathematics.