• Quadratic equations

    Learn about quadratic equations, including higher order polynomial equations that are 'quadratics in disguise'

  • Completing the square

    You'll master the method of completing the square, and learn advanced quadratic techniques like using the discriminant

  • Quadratic inequalities

    As well as mastering the use of roots to solve quadratic inequalities, you'll learn how to sketch the graphs of cubics and higher order polynomials too.

Hi, I'm Kevin, your teacher for this course!

I studied maths at Oxford University and learnt to teach at some of the UK's most prestigious private schools.  I'm also an experienced and highly sought after private tutor with a popular maths YouTube channel. I've created these Mathsaurus courses so you can learn to do maths like the very best on a fraction of the budget.

This course has been designed to replicate the experience of private tuition, with video hints and solutions as you work through the course that make it feel like you're in a real lesson.

I really enjoyed making this course and I hope that as well as learning a lot you're going to have fun along the way too. In the video introduction below I'll tell you more about the course.   Then if you're ready to get started  you can sign up for the free preview or the full course or learn more about it further down the page.

Reviews for Mathsaurus online courses

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Sine and Cosine Rules

Joseph Donovan

A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!

A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!

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5 star rating

Nothing like it

Divij Divij

Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.

Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.

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5 star rating

Wish we had this course years ago

patrick ludden

This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.

This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.

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Get started for free now!

Try out the free preview sections before committing to the full course:

Or sign up now and get started immediately!

  • £19.00

    Quadratic equations and inequalities

    1 Year enrolment
    Get me ready!
  • £29.00

    Quadratic equations and inequalities

    2 Year enrolment
    Get me ready!
  • £39.00

    Quadratic equations and inequalities

    Unlimited enrolment
    Get me ready!

This course is also available as part of a bundle...

Get ready for A-level maths

Save money by signing up for the full bundle 'Get Ready for A-Level maths', containing 5 courses just like this one on a range of topics that will help you master the final stages of GCSE or IGCSE maths and get ready to start AS or A-level!

Master the hardest parts of GCSE and IGCSE and get ahead with A-level maths topics.

In this course you'll learn about quadratic equations, including other polynomials that are quadratics 'in disguise'. You'll learn about completing the square, the discriminant and how to solve quadratic inequalities. You will also learn how to use the roots of quadratics and higher order polynomials to be able to sketch their graphs.

  • Suitable for students at the end of GCSE/IGCSE or the start of A-level (usually ages 15-17).

  • Learn by doing - as well as video introductions, each of the 5 chapters is organised around a contains an original downloadable worksheet.

  • Each worksheet has a range of easier and harder questions as well as some 'starred' questions to stretch the strongest students.

  • Every question in each worksheet has a fully explained video solution.

  • Free preview sections available after logging in (no payment details needed).

  • Available 24/7, go at your own pace. No ads, no distractions.

Course curriculum

Free preview includes teaching videos for all 25 modules.

    1. Factorising quadratics

      FREE PREVIEW
    2. Factorising examples

      FREE PREVIEW
    3. Disguised quadratics

      FREE PREVIEW
    4. Worksheet B1: Factorising quadratics and disguised quadratics

      FREE PREVIEW
    5. Upgrade to the full course to continue learning!

      FREE PREVIEW
    6. Question 1

    7. Question 2

    8. Question 3

    9. Question 4

    10. Question 5

    11. Question 6 Hint

    12. Question 6

    13. Question 7 Hint

    14. Question 7

    15. Question 8 Hint

    16. Question 8

    1. Completing the square

    2. Solving equations using completed square form

    3. The graph of a quadratic

    4. Using the calculator

    5. Worksheet B2: Completing the square and the graph of a quadratic

    6. Question 1

    7. Question 2

    8. Question 3

    9. Question 4

    10. Question 5

    11. Question 6 hint

    12. Question 6

    1. The discriminant of a quadratic

    2. Repeated roots

    3. Worksheet B3 - The discriminant of a quadratic

    4. Question 1

    5. Question 2

    6. Question 3

    7. Question 4

    8. Question 5

    9. Question 6

    10. Question 7

    11. Question 8 Hint

    12. Question 8

    13. Question 9 Hint

    14. Question 9

    1. Sketching polynomials from their roots

    2. Polynomials with repeated roots

    3. The shape of standard polynomials

    4. Worksheet B4 - Sketching the graphs of polynomials from their roots

    5. Question 1

    6. Question 2

    7. Question 3abcd

    8. Question 3efgh

    9. Question 4 hint

    10. Question 4

    11. Question 5 hint

    12. Question 5

    13. Question 6 hint

    14. Question 6

    1. Quadratic inequalities

    2. Harder quadratic inequalities

    3. Polynomial inequalities

    4. Worksheet B5 - Quadratic (and other) inequalities

    5. Question 1

    6. Question 2

    7. Question 3

    8. Question 4

    9. Question 5 hint

    10. Question 5

    11. Question 6 hint

    12. Question 6

    13. Question 7 hint

    14. Question 7

  • 71 lessons

Teacher

Kevin Olding

Kevin Olding is an experienced teacher and tutor, having worked for 7 years at two leading independent schools in London, and for over a decade as a private tutor. He holds a First Class MMATH Mathematics degree from Magdalen College, Oxford, an MSc in Applied Statistics from Birkbeck, University of London (Distinction and prize for best overall performace), MRes in Statistical Applied Mathematics (Distinction and soon PhD) from the University of Bath, as well as a degree in Law. He is also the creator of the Mathsaurus YouTube channel, which has tens of thousands of subscribers and millions of video views.

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