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OCR A Level Maths - Algebraic Expressions

Simplifying Algebraic Expressions

OCR (A) H240/02 Jun 2022 A2 Exam Q. 1 :   8 marks in 9:36 min.
OCR (A) H230/01 Jun 2022 AS Exam Q. 2 :   5 marks in 6:00 min.
OCR (A) H230/02 Nov 2021 AS Exam Q. 1 :   2 marks in 2:24 min.
OCR (A) H240/01 Nov 2021 A2 Exam Q. 4 :   7 marks in 8:24 min.
OCR (A) H240/02 Nov 2020 A2 Exam Q. 2 :   4 marks in 4:48 min.
OCR (A) H230/02 Nov 2020 AS Exam Q. 4 :   9 marks in 10:48 min.
OCR (A) H230/01 Jun 2019 AS Exam Q. 3 a :   5 marks in 6:00 min.
OCR (A) H240/02 Jun 2019 A2 Exam Q. 7 :   5 marks in 6:00 min.
OCR (A) H230/01 Jun 2017 AS Sample Exam Q. 6 a :   2 marks in 2:24 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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