Coaching Centre
Chapter 8: Quadratic expressions and algebraic fractions Notes
Expanding binomial products, perfect squares and difference of two squares, factorising with common factors, grouping, monic and non-monic trinomials, and simplifying, multiplying, dividing, adding and subtracting algebraic fractions.
Sections
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8A Expanding binomial products Mastered
Expanding (a + b)(c + d) with FOIL or an area diagram, perfect squares and the difference of two squares.
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8B Factorising: common factors, difference of squares and grouping Mastered
Taking out the highest common factor, factorising the difference of two squares, and factorising four-term expressions by grouping in pairs.
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8C Factorising quadratic trinomials Mastered
Factorising monic trinomials x² + bx + c using two numbers that multiply to c and add to b, and non-monic trinomials ax² + bx + c by splitting the middle term.
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8D Algebraic fractions Mastered
Simplifying algebraic fractions by factorising and cancelling, multiplying and dividing, adding and subtracting with a common denominator, and solving equations with algebraic fractions.