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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 Fractions A mixture of algebraic fraction calculations and simplifications.
- Algebraic Notation Simplification using the normal conventions of algebra.
- Brackets Expand algebraic expressions containing brackets and simplify the resulting expression in this self marking exercise.
- Collecting Like Terms Practise your algebraic simplification skills with 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

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 the following expression.*" ... more - "
*Factorise the following expression*" ... more - "
*The expression below can be written as a single fraction in the form \( \frac{a-bx}{x^2-25} \) where \(a\) and \(b\) are integers.*" ... more - "
*The function \(f\) is defined as \(f(x) = 12x^3 - 5x^2 -11x + 6 \).*" ... more

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

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