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Algebraic Expansion and Factorisation (HSC SSCE Mathematics Advanced): Quizzes

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Algebraic Expansion and Factorisation

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What is the relationship between expansion and factorisation?

They are inverse processes

What is $3(x + 4)$ when expanded?

$3x + 12$

When expanding $(x + 2)(x + 3)$ , what is the result?

$x^2 + 5x + 6$

What is $(x - 4)(x + 2)$ when expanded?

$x^2 - 2x - 8$

Using the perfect square pattern, what is $(x + 5)^2$ ?

$x^2 + 10x + 25$

What is $6x + 12$ factorised?

$6(x + 2)$

To factorise $x^2 + 5x + 6$ , find two numbers that do what?

Multiply to 6 and add to 5

What pattern does $x^2 - 16$ follow?

Difference of two squares

For $2x^2 + 7x + 3$ , what is step 1 of the splitting method?

Multiply $2 \times 3 = 6$

How do you check if your factorisation is correct?

Expand brackets to get original

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Algebraic Expansion and Factorisation (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What is the relationship between expansion and factorisation?

What is 3(x+4)3(x + 4)3(x+4) when expanded?

When expanding (x+2)(x+3)(x + 2)(x + 3)(x+2)(x+3), what is the result?

What is (x−4)(x+2)(x - 4)(x + 2)(x−4)(x+2) when expanded?

Using the perfect square pattern, what is (x+5)2(x + 5)^2(x+5)2?

What is 6x+126x + 126x+12 factorised?

To factorise x2+5x+6x^2 + 5x + 6x2+5x+6, find two numbers that do what?

What pattern does x2−16x^2 - 16x2−16 follow?

For 2x2+7x+32x^2 + 7x + 32x2+7x+3, what is step 1 of the splitting method?

How do you check if your factorisation is correct?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

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Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

What is $3(x + 4)$ when expanded?

When expanding $(x + 2)(x + 3)$ , what is the result?

What is $(x - 4)(x + 2)$ when expanded?

Using the perfect square pattern, what is $(x + 5)^2$ ?

What is $6x + 12$ factorised?

To factorise $x^2 + 5x + 6$ , find two numbers that do what?

What pattern does $x^2 - 16$ follow?

For $2x^2 + 7x + 3$ , what is step 1 of the splitting method?