# Roots of polynomial equations – Further Pure Maths 1

Candidates should be able to:

• recall and use the relations between the roots and coefficients of polynomial equations (e.g. to evaluate symmetric functions of the roots or to solve problems involving unknown coefficients in equations; restricted to equations of degree 2, 3 or 4 only.)
• use a substitution to obtain an equation whose roots are related in a simple way to those of the original equation. (Substitutions will not be given for the easiest cases, e.g. where the new roots are reciprocals or squares or a simple linear function of the old roots.)

Roots of polynomial equations – Further Pure Maths 1 Video (1:08:03)