Grade 9 Math: Factoring Trinomials
This worksheet focuses on factoring trinomials of the form ax^2 + bx + c, including those with a leading coefficient of 1 and greater than 1.
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Grade 9 Math: Factoring Trinomials
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Carefully read each question and factor the given trinomials. Show all your work for full credit.
Factor each trinomial. Fill in the blanks with the correct numbers.
1. x² + 7x + 10 = (x + )(x + )
2. x² - 8x + 12 = (x - )(x - )
3. x² + 3x - 18 = (x + )(x - )
4. x² - 2x - 15 = (x - )(x + )
Factor each trinomial completely. Show your steps.
5. 2x² + 5x + 3
6. 3x² - 10x + 8
7. 4x² + 4x - 3
8. Which of the following is a factor of x² - x - 6?
(x - 2)
(x + 3)
(x - 3)
(x + 6)
9. When factoring 6x² + 13x + 5, what are the correct factors?
(6x + 1)(x + 5)
(2x + 5)(3x + 1)
(3x + 5)(2x + 1)
(6x + 5)(x + 1)
Indicate whether each statement is True or False.
10. The trinomial x² + 9 is a perfect square trinomial.
True
False
11. (x + 4)(x - 3) is the factored form of x² + x - 12.
True
False
12. Factor the trinomial 12x² + 2x - 2 completely. Remember to look for a Greatest Common Factor (GCF) first.