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Jun 26 A2
Exam Q 1
Jun 26 A2
Exam Q 1
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Jun 26 A2
Exam Q 10
Jun 26 A2
Exam Q 10
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Jun 25 AS
Exam Q 4
Jun 25 AS
Exam Q 4
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Jun 25 A2
Exam Q 8
Jun 25 A2
Exam Q 8
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Jun 24 AS
Exam Q 2
Jun 24 AS
Exam Q 2
-
Jun 24 AS
Exam Q 8
Jun 24 AS
Exam Q 8
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Jun 23 AS
Exam Q 15
Jun 23 AS
Exam Q 15
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Jun 23 AS
Exam Q 2
Jun 23 AS
Exam Q 2
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Jun 22 AS
Exam Q 2
Jun 22 AS
Exam Q 2
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Jun 22 AS
Exam Q 3
Jun 22 AS
Exam Q 3
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Nov 21 A2
Exam Q 1
Nov 21 A2
Exam Q 1
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Jun 19 AS
Exam Q 1
Jun 19 AS
Exam Q 1
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Jun 18 AS
Exam Q 5
Jun 18 AS
Exam Q 5
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Jun 18 A2
Exam Q 7
Jun 18 A2
Exam Q 7
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Jun 17 AS
Sample Q 11
Jun 17 AS
Sample Q 11
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Jun 17 A2
Exam Q 13
Jun 17 A2
Exam Q 13
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Jun 17 AS
Sample Q 4
Jun 17 AS
Sample Q 4
OCR MEI H640/03 Jun 2026 A2 Exam Q. 1
4 marks in 6:24 min.
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OCR MEI H640/01 Jun 2026 A2 Exam Q. 10
10 marks in 12:00 min.
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OCR MEI H630/01 Jun 2025 AS Exam Q. 4
4 marks in 4:54 min.
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OCR MEI H640/01 Jun 2025 A2 Exam Q. 8
7 marks in 8:15 min.
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OCR MEI H630/02 Jun 2024 AS Exam Q. 2
3 marks in 3:52 min.
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OCR MEI H630/02 Jun 2024 AS Exam Q. 8
4 marks in 5:09 min.
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OCR MEI H630/02 Jun 2023 AS Exam Q. 15
7 marks in 8:60 min.
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OCR MEI H630/02 Jun 2023 AS Exam Q. 2
3 marks in 3:51 min.
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OCR MEI H630/02 Jun 2022 AS Exam Q. 2
4 marks in 5:09 min.
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OCR MEI H630/01 Jun 2022 AS Exam Q. 3
3 marks in 3:52 min.
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OCR MEI H640/03 Nov 2021 A2 Exam Q. 1
5 marks in 8:00 min.
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OCR MEI H630/01 Jun 2019 AS Exam Q. 1
3 marks in 3:52 min.
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OCR MEI H630/02 Jun 2018 AS Exam Q. 5
3 marks in 3:52 min.
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OCR MEI H640/03 Jun 2018 A2 Exam Q. 7
8 marks in 12:48 min.
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OCR MEI H630/01 Jun 2017 AS Sample Exam Q. 11
6 marks in 7:43 min.
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OCR MEI H640/01 Jun 2017 A2 Exam Q. 13
4 marks in 4:48 min.
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OCR MEI H630/01 Jun 2017 AS Sample Exam Q. 4
3 marks in 3:51 min.
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Jun 26 A2
Exam Q 1
Jun 26 A2
Exam Q 1
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Jun 25 AS
Exam Q 5
Jun 25 AS
Exam Q 5
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Jun 24 AS
Exam Q 3
Jun 24 AS
Exam Q 3
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Jun 23 AS
Exam Q 1
Jun 23 AS
Exam Q 1
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Jun 23 A2
Exam Q 1
Jun 23 A2
Exam Q 1
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Jun 23 AS
Exam Q 6 a
Jun 23 AS
Exam Q 6 a
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Jun 22 AS
Exam Q 2
Jun 22 AS
Exam Q 2
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Nov 21 A2
Exam Q 1
Nov 21 A2
Exam Q 1
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Jun 19 AS
Exam Q 2
Jun 19 AS
Exam Q 2
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Jun 18 A2
Exam Q 1
Jun 18 A2
Exam Q 1
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Jun 18 AS
Exam Q 2
Jun 18 AS
Exam Q 2
-
Jun 18 A2
Exam Q 3
Jun 18 A2
Exam Q 3
-
Jun 18 AS
Exam Q 4
Jun 18 AS
Exam Q 4
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Jun 17 A2
Sample Q 3
Jun 17 A2
Sample Q 3
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Jun 17 AS
Sample Q 7
Jun 17 AS
Sample Q 7
OCR H240/01 Jun 2026 A2 Exam Q. 1
7 marks in 8:24 min.
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OCR H230/02 Jun 2025 AS Exam Q. 5
5 marks in 6:07 min.
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OCR H230/02 Jun 2024 AS Exam Q. 3
6 marks in 7:12 min.
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OCR H230/02 Jun 2023 AS Exam Q. 1
3 marks in 3:36 min.
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OCR H240/02 Jun 2023 A2 Exam Q. 1
5 marks in 6:00 min.
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OCR H230/01 Jun 2023 AS Exam Q. 6 a
3 marks in 3:36 min.
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OCR H230/02 Jun 2022 AS Exam Q. 2
4 marks in 4:48 min.
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OCR H240/01 Nov 2021 A2 Exam Q. 1
4 marks in 4:48 min.
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OCR H230/01 Jun 2019 AS Exam Q. 2
4 marks in 4:48 min.
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OCR H240/02 Jun 2018 A2 Exam Q. 1
7 marks in 8:24 min.
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OCR H230/01 Jun 2018 AS Exam Q. 2
4 marks in 4:48 min.
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OCR H240/01 Jun 2018 A2 Exam Q. 3
4 marks in 4:48 min.
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OCR H230/02 Jun 2018 AS Exam Q. 4
6 marks in 7:12 min.
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OCR H240/02 Jun 2017 A2 Sample Exam Q. 3
9 marks in 10:48 min.
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OCR H230/01 Jun 2017 AS Sample Exam Q. 7
8 marks in 9:36 min.
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Jun 26 AS
Exam Q 3
Jun 26 AS
Exam Q 3
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Jun 25 A2
Exam Q 1
Jun 25 A2
Exam Q 1
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Jun 25 AS
Exam Q 7
Jun 25 AS
Exam Q 7
-
Jun 25 AS
Exam Q 9
Jun 25 AS
Exam Q 9
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Dec 24 AS
Mock Q 1
Dec 24 AS
Mock Q 1
-
Dec 24 AS
Mock Q 5
Dec 24 AS
Mock Q 5
-
Jun 24 A2
Exam Q 9
Jun 24 A2
Exam Q 9
-
Jan 24 A2
Mock Q 10
Jan 24 A2
Mock Q 10
-
Jun 23 AS
Exam Q 2
Jun 23 AS
Exam Q 2
-
Apr 23 AS
Mock Q 10
Apr 23 AS
Mock Q 10
-
Apr 23 AS
Mock Q 5
Apr 23 AS
Mock Q 5
-
Jun 22 AS
Mock Q 14
Jun 22 AS
Mock Q 14
-
Jun 22 AS
Mock Q 5
Jun 22 AS
Mock Q 5
-
Dec 21 A2
Mock Q 4
Dec 21 A2
Mock Q 4
-
Nov 21 A2
Exam Q 12
Nov 21 A2
Exam Q 12
-
Nov 21 AS
Exam Q 14 ab
Nov 21 AS
Exam Q 14 ab
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Nov 21 A2
Exam Q 2
Nov 21 A2
Exam Q 2
-
Nov 21 AS
Exam Q 6
Nov 21 AS
Exam Q 6
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Jun 19 A2
Exam Q 5 ab
Jun 19 A2
Exam Q 5 ab
-
Jun 19 A2
Shadow Q 5 ab
Jun 19 A2
Shadow Q 5 ab
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Jun 19 AS
Exam Q 9
Jun 19 AS
Exam Q 9
-
Jan 19 A2
Mock Q 12
Jan 19 A2
Mock Q 12
-
Jan 19 A2
Mock Q 3
Jan 19 A2
Mock Q 3
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Jun 18 AS
Exam Q 6
Jun 18 AS
Exam Q 6
-
Jun 18 A2
Exam Q 8
Jun 18 A2
Exam Q 8
-
May 18 AS
Mock Q 4
May 18 AS
Mock Q 4
-
May 18 A2
Mock Q 5
May 18 A2
Mock Q 5
-
May 18 A2
Mock Q 6
May 18 A2
Mock Q 6
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Jun 17 AS
Sample Q 10
Jun 17 AS
Sample Q 10
-
Jun 17 AS
Sample Q 4 b
Jun 17 AS
Sample Q 4 b
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May 17 A2
Sample Q 11
May 17 A2
Sample Q 11
Edexcel 8MA0/01 Jun 2026 AS Exam Q. 3
4 marks in 4:48 min.
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Edexcel 9MA0/02 Jun 2025 A2 Exam Q. 1
3 marks in 3:36 min.
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Edexcel 8MA0/01 Jun 2025 AS Exam Q. 7
10 marks in 12:00 min.
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Edexcel 8MA0/01 Jun 2025 AS Exam Q. 9
3 marks in 3:36 min.
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Edexcel 8MA0/01 Dec 2024 AS Mock Exam Q. 1
4 marks in 4:48 min.
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Edexcel 8MA0/01 Dec 2024 AS Mock Exam Q. 5
6 marks in 7:12 min.
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Edexcel 9MA0/02 Jun 2024 A2 Exam Q. 9
7 marks in 8:24 min.
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Edexcel 9MA0/02 Jan 2024 A2 Mock Exam Q. 10
6 marks in 7:12 min.
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Edexcel 8MA0/01 Jun 2023 AS Exam Q. 2
4 marks in 4:48 min.
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Edexcel 8MA0/01 Apr 2023 AS Mock Exam Q. 10
8 marks in 9:36 min.
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Edexcel 8MA0/01 Apr 2023 AS Mock Exam Q. 5
5 marks in 6:00 min.
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Edexcel 8MA0/01 Jun 2022 AS Mock Exam Q. 14
8 marks in 9:36 min.
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Edexcel 8MA0/01 Jun 2022 AS Mock Exam Q. 5
6 marks in 7:12 min.
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Edexcel 9MA0/02 Dec 2021 A2 Mock Exam Q. 4
6 marks in 7:12 min.
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Edexcel 9MA0/01 Nov 2021 A2 Exam Q. 12
9 marks in 10:48 min.
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Edexcel 8MA0/01 Nov 2021 AS Exam Q. 14 ab
5 marks in 6:00 min.
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Edexcel 9MA0/01 Nov 2021 A2 Exam Q. 2
4 marks in 4:48 min.
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Edexcel 8MA0/01 Nov 2021 AS Exam Q. 6
6 marks in 7:12 min.
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Edexcel 9MA0/01 Jun 2019 A2 Exam Q. 5 ab
6 marks in 7:12 min.
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Edexcel 9MA0/01 Jun 2019 A2 Shadow Exam Q. 5 ab
6 marks in 7:12 min.
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Edexcel 8MA0/01 Jun 2019 AS Exam Q. 9
6 marks in 7:12 min.
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Edexcel 9MA0/01 Jan 2019 A2 Mock Exam Q. 12
6 marks in 7:12 min.
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Edexcel 9MA0/01 Jan 2019 A2 Mock Exam Q. 3
4 marks in 4:48 min.
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Edexcel 8MA0/01 Jun 2018 AS Exam Q. 6
7 marks in 8:24 min.
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Edexcel 9MA0/02 Jun 2018 A2 Exam Q. 8
7 marks in 8:24 min.
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Edexcel 8MA0/01 May 2018 AS Mock Exam Q. 4
4 marks in 4:48 min.
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Edexcel 9MA0/02 May 2018 A2 Mock Exam Q. 5
5 marks in 6:00 min.
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Edexcel 9MA0/01 May 2018 A2 Mock Exam Q. 6
6 marks in 7:12 min.
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Edexcel 8MA0/01 Jun 2017 AS Sample Exam Q. 10
4 marks in 4:48 min.
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Edexcel 8MA0/01 Jun 2017 AS Sample Exam Q. 4 b
4 marks in 4:48 min.
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Edexcel 9MA0/01 May 2017 A2 Sample Exam Q. 11
9 marks in 10:48 min.
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Jun 26 A2
Exam Q 3
Jun 26 A2
Exam Q 3
-
Jun 25 AS
Exam Q 11
Jun 25 AS
Exam Q 11
-
Jun 25 AS
Exam Q 5
Jun 25 AS
Exam Q 5
-
Jun 25 A2
Exam Q 7
Jun 25 A2
Exam Q 7
-
Jun 25 AS
Exam Q 8
Jun 25 AS
Exam Q 8
-
Jun 24 A2
Exam Q 2
Jun 24 A2
Exam Q 2
-
Jun 23 A2
Exam Q 1
Jun 23 A2
Exam Q 1
-
Jun 22 AS
Exam Q 4
Jun 22 AS
Exam Q 4
-
Nov 21 A2
Exam Q 1
Nov 21 A2
Exam Q 1
-
Nov 20 AS
Exam Q 11
Nov 20 AS
Exam Q 11
-
Jun 18 A2
Exam Q 4
Jun 18 A2
Exam Q 4
-
Jun 18 AS
Exam Q 7
Jun 18 AS
Exam Q 7
-
Jun 17 AS
Sample Q 4
Jun 17 AS
Sample Q 4
-
Jun 17 AS
Sample Q 5
Jun 17 AS
Sample Q 5
-
Jun 17 A2
Sample Q 6
Jun 17 A2
Sample Q 6
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Jun 17 A2
Sample Q 7
Jun 17 A2
Sample Q 7
AQA 7357/2 Jun 2026 A2 Exam Q. 3
1 mark in 1:12 min.
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AQA 7356/2 Jun 2025 AS Exam Q. 11
4 marks in 0:00 min.
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AQA 7356/2 Jun 2025 AS Exam Q. 5
4 marks in 0:00 min.
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AQA 7357/2 Jun 2025 A2 Exam Q. 7
9 marks in 10:48 min.
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AQA 7356/1 Jun 2025 AS Exam Q. 8
4 marks in 4:30 min.
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AQA 7357/3 Jun 2024 A2 Exam Q. 2
1 mark in 1:12 min.
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AQA 7357/2 Jun 2023 A2 Exam Q. 1
1 mark in 1:12 min.
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Check solutions of quadratic equations
Explore how the quadratic graph changes as the values of coefficients change
Explore how the value of the discriminant changes with the value of the constant
Explore the trajectory of the spear
Solving Quadratic Equations
Equations like ${{x^2} - 8x + 15 = 0}$ can be solved by plotting ${y = {x^2} - 8x + 15}$ and seeing where the curve crosses the x-axis.
Solve each of the equations in the display below. You can use the green point to help you by dragging it to the x-axis (where y = 0).
Solve each of the equations in the display below. You can use the green point to help you by dragging it to the x-axis (where y = 0).
Matching Quadratic Factors
You can select ten green quadratic curves on this page.
Using the sliders to match the blue dashed curve to the green curve will reveal the equation in each case, but can you say what the equation is before making the match?
Looking at where the green curve crosses the x-axis should help you.
Using the sliders to match the blue dashed curve to the green curve will reveal the equation in each case, but can you say what the equation is before making the match?
Looking at where the green curve crosses the x-axis should help you.
Extension Quadratic Problem
Find the set of values of $k$ for which $x$ is real, given that $y = {x^2} + kx + (2k - 3) = 0$
(a) For what values of k does the equation have:
(i) equal roots
(ii) roots of the same sign
(iii) roots of opposite sign?
(b) What is the significance of the common point on all the graphs?
(c) What is the greatest minimum value that the expression y can have, and for what value of k does this occur?
(d) Using your answers to (a) (i), can you find a curve which passes through the minimum point on each curve? (Hint: think about transformations of functions.)
(e) Now prove all your answers on paper.
(a) For what values of k does the equation have:
(i) equal roots
(ii) roots of the same sign
(iii) roots of opposite sign?
(b) What is the significance of the common point on all the graphs?
(c) What is the greatest minimum value that the expression y can have, and for what value of k does this occur?
(d) Using your answers to (a) (i), can you find a curve which passes through the minimum point on each curve? (Hint: think about transformations of functions.)
(e) Now prove all your answers on paper.