Factoring Expressions Worksheet
This worksheet provides practice with various methods of factoring algebraic expressions, including greatest common factor, difference of squares, and trinomials, suitable for Grade 11 students.
Includes
Standards
Topics
Factoring Expressions
Name:
Date:
Score:
Read each question carefully and factor the expressions as indicated. Show all your work.
Factor out the Greatest Common Factor (GCF) from each expression.
1. $12x^3y^2 - 18x^2y^3 + 24x^4y$
2. $5a^2b^2c - 10ab^3c^2 + 15a^3bc^3$
Factor each difference of squares expression.
3. $49x^2 - 81y^2$
4. $100a^4 - b^6$
Factor each trinomial where the leading coefficient is 1.
5. $x^2 + 10x + 21$
6. $m^2 - 7m - 30$
Factor each trinomial where the leading coefficient is greater than 1.
7. $3x^2 + 11x + 6$
8. $2y^2 - 7y + 5$
Factor each expression by grouping.
9. $x^3 + 2x^2 + 5x + 10$
10. $6ab - 9a + 4b - 6$
11. Which of the following is a factor of $x^2 - 16$?
$(x-8)$
$(x+2)$
$(x-4)$
$(x+8)$