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.
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Factoring Expressions
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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 $x^2 - 16$?
$(x-8)$
$(x+2)$
$(x-4)$
$(x+8)$
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