Factoring Trinomials: The AC Method
This worksheet provides practice with factoring trinomials of the form ax^2 + bx + c using the AC method for Grade 11 math students.
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Factoring Trinomials: The AC Method
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Read each question carefully and factor the given trinomials using the AC method. Show all your work.
1. Factor the trinomial: 2x² + 7x + 3
2. Factor the trinomial: 3x² - 10x + 8
3. Factor the trinomial: 4x² + 4x - 3
4. Which of the following is a factor of 6x² + 19x + 10?
(3x + 2)
(2x + 5)
(3x + 5)
(6x + 1)
5. What are the two numbers that multiply to 15 and add to -8 when factoring x² - 8x + 15 using the AC method (where a=1)?
3 and 5
-3 and -5
-3 and 5
3 and -5
6. In the AC method, 'A' represents the coefficient of the term, and 'C' represents the term.
7. To factor 5x² + 13x + 6, you first multiply A and C to get .
8. The AC method can only be used when the leading coefficient 'a' is not equal to 1.
True
False
9. Factor the trinomial: 12x² - x - 6
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