A-Level Further Maths Edexcel 9FM0

Understand and use the relationship between roots and coefficients of polynomial equations up to quartic equations.

Form a polynomial equation whose roots are a linear transformation of the roots of a given polynomial equation (of at least cubic degree).

Understand and use formulae for the sums of integers, squares and cubes and use these to sum other series.

Understand and use the method of differences for summation of series including use of partial fractions.

Find the Maclaurin series of a function including the general term.

Recognise and use the Maclaurin series for $e^x$, $\ln{(1 + x)}$, $\sin{x}$, $\cos{x}$ and $(1 + x)^n$, and be aware of the range of values of $x$ for which they are valid (proof not required).