Factorising

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The following math revision questions are provided in support of the math tutorial on Factorising. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Factorising tutorials. The Factorising calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Expressions Learning Material

Tutorial ID	Title	Tutorial	Video Tutorial	Revision Notes	Revision Questions
6.4	Factorising

Factorising Revision Questions

1. . What is the greatest common factor of the terms in the expression

1. x
2. y
3. xy
4. 2xy

Reveal AnswerCorrect Answer: D

2. . What is the factorised form of the expression

1. 15xy(x³ - y + y²)
2. 15x(x³y - y + y²)
3. 3x(5x³ - 3y + 5y²)
4. x(3x³ - 5y + 15y²)

Reveal AnswerCorrect Answer: D

3. . The expression

is equivalent to

1. (x - 1)(x + 5)
2. (x² - 2x + 1)
3. (x - 2)(x - 5)
4. (x - 1)2

Reveal AnswerCorrect Answer: D

4. . Which expression below is equivalent to

1. (x - 1)(x² + x + 1)
2. (x - 2)(x² + 4)
3. (x + 1)(x² - x + 1)
4. (x² + 1)(x + 4)

Reveal AnswerCorrect Answer: A

5. . Which expression below is equivalent to

1. (x - 4)2
2. (x - 4)(x + 4)
3. (x - 2)(x² - 4x + 8)
4. (x + 4)2

Reveal AnswerCorrect Answer: B

6. . What is the factorised form of the expression

1. (x - 1)(x + 3)
2. (x + 1)(x - 3)
3. (x - 2)(x + 1)
4. (x - 1)(x - 3)

Reveal AnswerCorrect Answer: B

7. . Which of the following expressions is equivalent to

1. (x - 1)(x - 9)
2. (x - 3)(x + 3)
3. (x - 3)2
4. (x + 3)2

Reveal AnswerCorrect Answer: C

8. . The expression

is equivalent to

1. (14x - 2)(x + 6)
2. (x + 6)(2x - 1)
3. 7(2x - 1)
4. (2x - 1)(4x - 2)

Reveal AnswerCorrect Answer: C

9. . What is the factorised form of the quadratic equation

1. (4x - 1)(x - 2)
2. (5x + 1)(x - 2)
3. (x - 1)(5x + 2)
4. (5x - 1)(x + 2)

Reveal AnswerCorrect Answer: D

10. . Which of the following expressions is equivalent to

1. (2x + 1)(3x + 4)
2. (3x + 1)(2x + 4)
3. (3x + 2)(2x + 2)
4. (6x - 1)(x - 4)

Reveal AnswerCorrect Answer: A

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2. Expressions Math tutorial: Factorising. Read the Factorising math tutorial and build your math knowledge of Expressions
3. Expressions Video tutorial: Factorising. Watch or listen to the Factorising video tutorial, a useful way to help you revise when travelling to and from school/college
4. Expressions Revision Notes: Factorising. Print the notes so you can revise the key points covered in the math tutorial for Factorising
5. Check your calculations for Expressions questions with our excellent Expressions calculators which contain full equations and calculations clearly displayed line by line. See the Expressions Calculators by iCalculator™ below.
6. Continuing learning expressions - read our next math tutorial: Algebraic Fractions

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Expressions Calculators by iCalculator™

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