Quadratic equations and inequalities
Also includes graph sketching for cubics and higher order polynomials
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.
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!
Read LessAmazing 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.
Read LessThis 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.
Read Less£19.00
Quadratic equations and inequalities
£29.00
Quadratic equations and inequalities
£39.00
Quadratic equations and inequalities
Get ready for A-level maths
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.
Free preview includes teaching videos for all 25 modules.
Factorising quadratics
FREE PREVIEWFactorising examples
FREE PREVIEWDisguised quadratics
FREE PREVIEWUpgrade to the full course to continue learning!
FREE PREVIEWWorksheet B1: Factorising quadratics and disguised quadratics
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6 Hint
Question 6
Question 7 Hint
Question 7
Question 8 Hint
Question 8
Completing the square
Solving equations using completed square form
The graph of a quadratic
Using the calculator
Worksheet B2: Completing the square and the graph of a quadratic
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6 hint
Question 6
The discriminant of a quadratic
Repeated roots
Worksheet B3 - The discriminant of a quadratic
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8 Hint
Question 8
Question 9 Hint
Question 9
Sketching polynomials from their roots
Polynomials with repeated roots
The shape of standard polynomials
Worksheet B4 - Sketching the graphs of polynomials from their roots
Question 1
Question 2
Question 3abcd
Question 3efgh
Question 4 hint
Question 4
Question 5 hint
Question 5
Question 6 hint
Question 6
Quadratic inequalities
Harder quadratic inequalities
Polynomial inequalities
Worksheet B5 - Quadratic (and other) inequalities
Question 1
Question 2
Question 3
Question 4
Question 5 hint
Question 5
Question 6 hint
Question 6
Question 7 hint
Question 7
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