Factoring Trinomials Worksheet

Grade 11 Algebra worksheet focusing on factoring quadratic trinomials of the form ax^2 + bx + c.

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraTrinomialsFactoringQuadratic

7 sections · Free to use · Printable

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