Factoring Trinomials Worksheet
Grade 11 Algebra worksheet focusing on factoring quadratic trinomials of the form ax^2 + bx + c.
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Factoring Trinomials
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Read each question carefully and factor the given trinomials completely. Show all your work.
1. A trinomial is a polynomial with exactly terms.
2. When factoring a trinomial of the form x² + bx + c, we look for two numbers that multiply to and add to .
3. The first step in factoring any polynomial is to look for a .
4. If a trinomial cannot be factored into integer coefficients, it is considered .
Factor each trinomial. (a=1)
5. x² + 7x + 10
6. x² - 8x + 15
7. x² + 3x - 18
8. x² - 2x - 24
Factor each trinomial. (a≠1)
9. 2x² + 11x + 5
10. 3x² - 10x + 8
11. 4x² + 8x - 5
12. 6x² - 7x - 3
13. Which of the following is a factor of 3x² + 7x - 6?
(3x + 2)
(x + 3)
(3x - 2)
(x - 2)
14. What is the factored form of 5x² - 13x - 6?
(5x + 2)(x - 3)
(5x - 2)(x + 3)
(5x - 3)(x + 2)
(5x + 3)(x - 2)
15. The trinomial x² + 4x + 3 can be factored as (x + 1)(x + 3).
True
False
16. The trinomial 2x² + 5x + 3 is a prime trinomial (cannot be factored).
True
False
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