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Year 10 Extended · Unit 3

Algebra

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Unit 2 All units Unit 4

0 of 99 skills done

0

Unit 3 · Algebra

About this unit 3.1 Solving equations 0 of 31 skills 3.2 Factorising quadratics 0 of 11 skills 3.3 Algebraic fractions 0 of 8 skills 3.4 Systems of equations 0 of 17 skills 3.5 Quadratic equations 0 of 27 skills

The course

Unit 1 · Sequences Unit 2 · Exponents and Surds Unit 3 · Algebra You are here Unit 4 · Coordinate Geometry Unit 5 · Trigonometry Unit 6 · Statistics Unit 7 · Functions All seven units Dashboard

10.3.2

Factorising quadratics

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10.3.2 · 2 weeks

Factorising quadratics

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0 of 11 done

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Factorising out a single term

Factorise by taking out a common factor

Factorise fully (common factor)

Factorising quadratic expressions given in the form x² + bx + c

Factorise x² + bx + c

Factorise fully (x² + bx + c)

Show two expressions are equivalent

Factorising the difference of two squares

Factorise the difference of two squares

Difference of two squares to calculate

Factorise fully (difference of two squares)

Factorising a quadratic where the coefficient of the x² term is not 1

Factorise ax² + bx + c

Factorise when the x² coefficient is negative

Factorise fully (ax² + bx + c)

🎯 Target: I can expand and simplify expressions with brackets. (+4 more)

By the end of this section

I can expand and simplify expressions with brackets.
I can factorise simple quadratics like \(x^2 + bx + c\).
I can factorise quadratics like \(ax^2 + bx + c\).
I can factorise a difference of two squares, and factorise by grouping.
I can take out a common factor first, and say which type of factorising a quadratic needs.

Previous10.3.1 Solving equations Next10.3.3 Algebraic fractions

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