Topic One (1.1): Roots of Polynomial Equations

Introduction Icon.png Introduction

Polynomials underpin many different areas of maths and science. The following link is a presentation on the many different uses of polynomials in real life:

WATCH - Polynomials in Real Life (Prezi) Links to an external site.

Read Icon.png Reading

For this topic, you will need to work through pages 2 to 15 of your textbook.

Activities Icon.png Pre-requisite Knowledge

Read through pages 2 to 4 as an introduction to this chapter and try the questions in the prerequisite knowledge section. 

If necessary, refer back to the relevant chapters from the A Level course.

Additional resources on these topics can be found via the following links:

WATCH - The Quadratic Playlist (YouTube) Links to an external site.

WATCH - Working with Sequences and Series Playlist (YouTube) Links to an external site.

Read & Make Notes Icon.png Tasks

Complete the following:

  • Try exercise 1A on the roots of quadratic equations.
  • Read pages 5 to 8, before trying exercise 1B on cubic equations.
  • Read pages 8 to 9 before trying exercise 1C on quartic equations.
  • Read pages 10 to 13 before trying exercise 1D on substitutions.

Consolidate Icon.png Consolidate

Now consolidate your understanding by making revision cards for this chapter (the checklist on page 14 will help) and work through the end-of-chapter review on page 15.

For additional support, you may want to try the following links:

WATCH – Roots of Polynomials (YouTube) Links to an external site.

WATCH – Roots of Polynomials Revision (YouTube)  Links to an external site.

READ – Roots of Polynomials (Further Maths Tutor) Links to an external site.

WATCH - Coefficients & Roots of Polynomials 1 (YouTube) Links to an external site.