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Topic 301Mathematics (Cambridge)

Algebra

Algebra — Cambridge International AS & A Level Mathematics (9709), Pure Mathematics 3 (3.1).

Practice questions
1

Partial FractionsSign up

be able to express a proper rational function as a sum of partial fractions when the denominator factorises into distinct linear factors, repeated linear factors or a linear and a quadratic factor · be able to reduce an improper rational function to a polynomial plus a proper rational function before decomposing into partial fractions

40 min
2

The Binomial Expansion for Rational nSign up

be able to expand (1 + x)^n for any rational n, stating the range of values of x for which the expansion is valid · be able to adapt the binomial series to expand (a + bx)^n by first factorising out a^n

40 min

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Numerical solution of equations

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Logarithmic and exponential functions