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OCR MEI A Level - Algebraic Expressions

Simplifying Algebraic Expressions

OCR MEI H640/03 Jun 2023 A2 Exam Q. 4 :   4 marks in 6:24 min.
OCR MEI H630/01 Jun 2023 AS Exam Q. 6 :   5 marks in 6:26 min.
OCR MEI H630/02 Jun 2023 AS Exam Q. 7 :   4 marks in 5:08 min.
OCR MEI H640/01 Nov 2020 A2 Exam Q. 7 :   6 marks in 7:12 min.
OCR MEI H640/01 Jun 2018 A2 Exam Q. 1 :   3 marks in 3:36 min.
OCR MEI H630/01 Jun 2018 AS Exam Q. 6 :   5 marks in 6:26 min.
OCR MEI H640/03 Jun 2017 A2 Exam Q. 1 :   2 marks in 3:12 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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