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These are the Transum resources related to the statement: "Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem. Simplify rational expressions, including by factorising and cancelling, and algebraic division (by linear expressions only)".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Algebraic Notation Simplification using the normal conventions of algebra.
- Algebragons Find the missing expressions in these partly completed algebraic arithmagon puzzles.
- Collecting Like Terms Video If you have forgotten what collecting like terms means watch this video for a quick refresher.
- Collecting Like Terms Practise your algebraic simplification skills with this self marking exercise.
- Brackets Levels 1 and 2 Learn how to remove brackets from simple algebraic expressions. This video is to help you do the online, self-marking exercise.
- Brackets Levels 3 to 5 Learn how to multiply the terms inside a pair of brackets by the term outside. This video is to help you do the online, self-marking exercise.
- Brackets Levels 6 to 8 Expand a pair of brackets using the clown's face method. This video is to help you do the online, self-marking exercise.
- Brackets Levels 9 and 10 The final video showing how algebraic expressions containing brackets can be simplified.
- Brackets Expand algebraic expressions containing brackets and simplify the resulting expression in this self marking exercise.
- Factorising Practise the skills of algebraic factorisation in this structured online self marking exercise.
- Pascal's Triangle Get to know this famous number pattern with some revealing learning activities
- Algebraic Fractions A mixture of algebraic fraction calculations and simplifications.
- Polynomial Division Practise dividing one algebraic expression by another in this set of exercises.

Here are some exam-style questions on this statement:

- "
*Multiply out and simplify:*" ... more - "
*Find the highest common factor of the following two expressions:*" ... more - "
*Simplify then find the square root of this expression:*" ... more - "
*(a) Simplify \( \left(\dfrac{3a}{a^3 - 3}\right)^0 \)*" ... more - "
*(a) Simplify the following expression.*" ... more - "
*Factorise the following expression*" ... more - "
*The expression below can be written as a single fraction in the form \( \dfrac{a-bx}{x^2-25} \) where \(a\) and \(b\) are integers.*" ... more - "
*The function \(f\) is defined as \(f(x) = 12x^3 - 5x^2 -11x + 6 \).*" ... more

Here is an Advanced Starter on this statement:

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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