Factorisation by Grouping Worksheet
Grade 11 Math worksheet focusing on factorisation by grouping, including multiple choice, fill-in-the-blanks, and short answer questions.
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Factorisation by Grouping
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Read each question carefully and factorise the expressions by grouping. Show all your work for short answer questions.
1. Which of the following is the correct factorisation of 3x² + 6x + 4x + 8?
(3x + 4)(x + 2)
(3x + 2)(x + 4)
(3x + 8)(x + 1)
(3x + 1)(x + 8)
2. The expression 2xy - 4x + 3y - 6 can be factored by grouping into:
(2x + 3)(y - 2)
(2x - 3)(y + 2)
(x + 3)(2y - 2)
(2x + y)(3 - 2)
3. To factorise 5a² - 10ab + 3a - 6b by grouping, the common factor of the first two terms is , and the common factor of the last two terms is .
4. When factorising x³ + 2x² - 5x - 10 by grouping, the resulting binomial factor will be (x² - ).
5. Factorise the expression: ab + ac + bd + cd
6. Factorise the expression: 6x² - 9x + 8x - 12
7. The expression x² + 3x + 2 cannot be factored by grouping into two binomials.
True
False
8. Factorisation by grouping is only applicable to polynomials with four terms.
True
False
9. Fully factorise the expression: x³ - 3x² - 4x + 12