Factoring Trinomials: The AC Method
This worksheet provides practice with factoring quadratic trinomials using the AC method for 8th-grade algebra students.
Includes
Standards
Topics
Factoring Trinomials: The AC Method
Name:
Date:
Score:
Factor each trinomial using the AC Method. Show all your work. Remember the steps:
1. Identify a, b, and c in the trinomial ax² + bx + c.
2. Multiply a and c (AC).
3. Find two numbers that multiply to AC and add to b.
4. Rewrite the middle term (bx) using these two numbers.
5. Factor by grouping.
For each trinomial, identify the values of a, b, and c.
1. x² + 7x + 10
a = b = c =
2. 2x² - 5x - 3
a = b = c =
3. 3x² + 10x + 8
a = b = c =
Factor the following trinomials where a = 1.
4. x² + 8x + 15
5. x² - 6x + 8
Factor the following trinomials where a > 1.
6. 2x² + 7x + 6
7. 3x² - 10x + 8
8. Which of the following is a factor of 4x² + 8x + 3?
(x + 1)
(2x + 1)
(4x + 1)
(2x + 3)
9. The trinomial x² + 2x + 1 can be factored into (x + 1)(x + 1).
True
False
10. Factor the trinomial 6x² + 11x - 10.
Related Worksheets
Proportional Equations Worksheet
This worksheet focuses on understanding and solving proportional equations, including identifying proportionality, calculating constants of proportionality, and solving real-world problems.
Inductive Reasoning Practice
This worksheet helps 8th-grade students practice inductive reasoning by identifying patterns and making conjectures.
Naming Polynomials Worksheet
This worksheet helps grade 8 students practice naming polynomials based on their degree and number of terms.
Substitution Method Practice
Practice solving systems of linear equations using the substitution method.
Simplifying Equations Worksheet
This worksheet provides practice on simplifying algebraic equations for 8th-grade students, covering combining like terms, distributive property, and solving multi-step equations.
FOIL Method Practice
Practice worksheet for students to master the FOIL method for multiplying binomials.
Grade 8 Linear Systems Worksheet
A comprehensive worksheet for 8th-grade students covering linear systems, including solving by graphing, substitution, and elimination.
Properties of Equality Worksheet
Explore and apply the properties of equality (addition, subtraction, multiplication, division, substitution, and reflexive) to solve algebraic equations.