Grade 10 Trinomials Worksheet
This worksheet focuses on factoring and expanding trinomials for Grade 10 math students.
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Grade 10 Trinomials Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
Factor the following trinomials where the leading coefficient is 1.
1. x² + 7x + 10
2. x² - 8x + 15
3. x² + 2x - 24
Factor the following trinomials where the leading coefficient is not 1.
4. 2x² + 11x + 5
5. 3x² - 10x + 8
6. 4x² + 7x - 2
Expand the following expressions.
7. (x + 3)(x + 4)
8. (2x - 1)(x + 5)
9. (3x + 2)(2x - 3)
10. Which of the following is the correct factorization of x² - 9x + 20?
(x + 4)(x + 5)
(x - 4)(x - 5)
(x - 10)(x + 2)
(x + 10)(x - 2)
11. When (3x - 2)(x + 4) is expanded, what is the constant term?
2
-2
8
-8
12. A trinomial is a polynomial with exactly terms.
13. To factor x² + bx + c, we look for two numbers that multiply to and add to .
14. The FOIL method is used to two binomials.
15. All trinomials can be factored over the integers.
True
False
16. The product of two binomials is always a trinomial.
True
False
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