Factorisation by Grouping Worksheet

Grade 10 Math worksheet on factorisation by grouping with various question types.

Grade 10 Math AlgebraFactorisation by Grouping

Use This Worksheet

Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.2CCSS.MATH.CONTENT.HSA.APR.B.3

Topics

mathalgebrafactorisationgroupinggrade 10

7 sections · Free to use · Printable

← More Math worksheets for Grade 10

Factorisation by Grouping

Name:

Date:

Score:

Read each question carefully and factorise the given expressions by grouping. Show all your steps.

1. Factorise the expression: ax + ay + bx + by

2. Factorise the expression: x³ + 2x² + 5x + 10

3. Factorise the expression: 2xy - 4x + 3y - 6

1. To factorise 3x² + 6x + 4x + 8 by grouping, the first step is to group the terms: (3x² + 6x) + (4x + 8). Then, factor out the common factor from each group: 3x(x + 2) + 4(x + 2). Finally, factor out the common binomial factor: .

2. When factorising 5y² - 10y + 7y - 14, the common factor for the first group (5y² - 10y) is 5y, resulting in 5y(y - 2). The common factor for the second group (7y - 14) is , which gives 7(y - 2). The final factorised form is (5y + 7)(y - 2).

1. Which of the following is the correct factorisation of 6ab - 9a + 2b - 3?

(3a + 1)(2b - 3)

(3a - 1)(2b + 3)

(3a + 1)(2b + 3)

(3a - 1)(2b - 3)

2. What is the common binomial factor when factorising x² + 3x + 4x + 12?

(x + 3)

(x + 4)

(x²)

(3x)

1. Factorisation by grouping is only applicable to expressions with four terms.

True

False

2. The expression x² - 5x + 2x - 10 can be factorised as (x - 5)(x + 2).

True

False

Factorise the expression: a³ - a²b + ab² - b³