Roots of polynomials: A Level Further Maths Ch 4 practice

What you need to know

Check yourself against these “I can” statements.

I can use the links between the roots and coefficients of quadratic, cubic and quartic equations
I can work out expressions involving the roots of a polynomial without finding the roots
I can find a new polynomial whose roots are a linear transformation of the roots of another

Practise this topic

1 resource

Roots of Polynomials

Quadratics (and cubics on Hard) with roots α, β: the equation, α+β and αβ, α²+β², 1/α+1/β, α³+β³, (α−β)², and equations with transformed roots.

Further Maths

These are the pages for Roots of polynomials in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.