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← Further Pure Mathematics notes
Edexcel IGCSE·Further Pure Mathematics·IGCSE Further Pure Mathematics

Identities & Inequalities

12 min read

Algebraic identities and partial-fraction-style manipulation, and solving linear and quadratic inequalities.

Identities

An identity is true for all values of the variable (written ≡). To find unknown constants, compare coefficients or substitute convenient values. E.g. if x2+px+q≡(x+2)2+rx^2+px+q \equiv (x+2)^2 + rx2+px+q≡(x+2)2+r, expand and match.

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More Further Pure Mathematics notes

Indices & Logarithms

The Quadratic Function

Polynomials, Factor & Remainder Theorems

Graphs & Functions