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AQA A Level - Algebraic Expressions

Simplifying Algebraic Expressions

AQA 7357/1 Jun 2022 A2 Exam Q. 11 :   10 marks in 12:00 min.
AQA 7356/1 Jun 2022 AS Exam Q. 5 :   3 marks in 3:22 min.
AQA 7356/2 Jun 2022 AS Exam Q. 5 :   5 marks in 5:38 min.
AQA 7357/1 Nov 2021 A2 Exam Q. 13 :   8 marks in 9:36 min.
AQA 7357/3 Nov 2021 A2 Exam Q. 2 :   1 mark in 1:12 min.
AQA 7357/3 Nov 2021 A2 Exam Q. 6 :   4 marks in 4:48 min.
AQA 7357/3 Nov 2020 A2 Exam Q. 4 :   7 marks in 8:24 min.
AQA 7356/1 Nov 2020 AS Exam Q. 6 :   9 marks in 10:08 min.
AQA 7357/3 Nov 2020 A2 Exam Q. 7 :   7 marks in 8:24 min.
AQA 7357/3 Jun 2019 A2 Exam Q. 2 :   1 mark in 1:12 min.
AQA 7356/1 Jun 2019 AS Exam Q. 3 :   5 marks in 5:38 min.
AQA 7357/2 Jun 2019 A2 Exam Q. 4 :   4 marks in 4:48 min.
AQA 7357/1 Jun 2018 A2 Exam Q. 12 :   10 marks in 12:00 min.
AQA 7356/2 Jun 2017 AS Sample Exam Q. 1 :   1 mark in 1:08 min.
AQA 7357/1 Jun 2017 A2 Sample Exam Q. 4 :   6 marks in 7:12 min.
Visualise Factor Theorem 1
The factor theorem states that:
If ${\color{blue} f(x) }$ is a polynomial and ${\color{blue} f(a) = 0 }$, then ${\color{blue} (x - a) }$ is a factor of ${\color{blue} f(x) }$.

This display helps show how this comes about.

You can drag the red point to help read coordinates.
Visualise Factor Theorem 2
The factor theorem also states that:
If ${\color{blue} f(x) }$ is a polynomial and ${\color{blue} f( {b \over a} ) = 0 }$, then ${\color{blue} (ax - b) }$ is a factor of ${\color{blue} f(x) }$.

This display helps show how this comes about.

You can drag the red point to help read coordinates.
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