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OCR A Level Maths - Algebraic Expressions

Simplifying Algebraic Expressions

OCR (A) H240/03 Jun 2024 A2 Exam Q. 1
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OCR (A) H240/01 Jun 2024 A2 Exam Q. 6
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OCR (A) H230/01 Jun 2024 AS Exam Q. 7
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OCR (A) H240/02 Jun 2022 A2 Exam Q. 1
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OCR (A) H230/01 Jun 2022 AS Exam Q. 2
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OCR (A) H230/02 Nov 2021 AS Exam Q. 1
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OCR (A) H240/01 Nov 2021 A2 Exam Q. 4
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OCR (A) H240/02 Nov 2020 A2 Exam Q. 2
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OCR (A) H230/02 Nov 2020 AS Exam Q. 4
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OCR (A) H230/01 Jun 2019 AS Exam Q. 3 a
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OCR (A) H240/02 Jun 2019 A2 Exam Q. 7
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OCR (A) H230/01 Jun 2017 AS Sample Exam Q. 6 a
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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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