# Polynomials and rational functions – Further Maths Paper 1

Candidates should be able to:

• recall and use the relations between the roots and coefficients of polynomial equations, for equations of degree 2, 3, 4 only;
• use a given simple substitution to obtain an equation whose roots are related in a simple way to those of the original equation;
• sketch graphs of simple rational functions, including the determination of oblique asymptotes, in cases where the degree of the numerator and the denominator are at most 2 (detailed plotting of curves will not be required, but sketches will generally be expected to show significant features, such as turning points, asymptotes and intersections with the axes).