AC Method Factoring Worksheet
A Grade 9 math worksheet focused on factoring quadratic expressions using the AC method, including multiple choice, fill-in-the-blank, and short answer questions.
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AC Method Factoring Worksheet
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Read each question carefully and follow the instructions to factor the quadratic expressions using the AC method.
1. In the AC method, 'A' refers to the coefficient of the term, and 'C' refers to the term.
2. To factor a quadratic expression ax² + bx + c using the AC method, you first multiply A and C, then find two numbers that multiply to AC and add to .
3. The AC method is particularly useful when the leading coefficient 'a' is not equal to .
4. Which of the following is the correct first step when factoring 2x² + 7x + 6 using the AC method?
Find two numbers that multiply to 6 and add to 7.
Multiply 2 and 6 to get 12.
Identify the factors of 7.
Divide the entire expression by 2.
5. Which pair of numbers would you use to factor 3x² - 10x + 8 using the AC method?
-4 and -6
2 and 4
-2 and -8
1 and 24
6. Factor the quadratic expression 2x² + 9x + 4 using the AC method. Show your work.
7. Factor the quadratic expression 6x² - 11x - 10 using the AC method. Show your work.
8. When using the AC method, if AC is positive and B is negative, both factors must be negative.
True
False
9. The AC method can only be used for quadratic expressions where 'a' is a positive integer.
True
False
10. Factor the expression 12x² + x - 6 using the AC method. Show all steps clearly.