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Cambridge Maths Academy
Pure mathematics Year 2 Table of contents Algebraic division Examples Edexcel P2 Ch1 Exercise 1F Improper fractions in partial fractions Edexcel P2 Ch1 Exercise 1G 1. Algebraic division An improper algebraic fraction is one whose numerator has a degree equal to or larger than the denominator. The degree of a polynomial is the largest exponent in the expression. For example, $x^3 + 5x - 9 $ has d..
Pure mathematics Year 2 Table of contents Partial fractions Examples Edexcel P2 Ch1 Exercise 1D 1. Partial fractions In the previous section, P2 §1.2 Algebraic fractions, we learnt how to add and subtract two (or more) fractions, e.g. $$ \frac{2}{x+3} - \frac{1}{x+1} = \frac{x-1}{(x+3)(x+1)} $$ Now, we can perform the reverse. In other words, a single fraction with two distinct linear factors in..
Pure mathematics Year 2 Table of contents Algebraic fractions Multiplication Division Edexcel P2 Ch1 Exercise 1B Addition and subtraction Edexcel P2 Ch1 Exercise 1C 1. Algebraic fractions Algebraic fractions work in the same way as numeric fractions. We can simplify them by cancelling common factors for multiplication and division, and finding common denominators for addition and subtraction. 2...