Practice Objectives
- Demonstrate the ability to factor a difference of squares
- Demonstrate the ability to factor a perfect square trinomial
- Demonstrate the ability to factor a sum/difference of cubes
Practice Factoring Polynomials with Special Cases
Instructions:
Answer 7/10 questions correctly to pass.
Factor each polynomial, then complete the "Factored Form" by entering the values for a, b, c, and d.
- The FIRST term of each factor MUST BE POSITIVE. The correct formatting for each problem type is listed below:
- Difference of Squares:
- a2 - b2 = (a + b)(a - b) ✔️
- a2 - b2 = (-a - b)(-a + b) ❌
- Perfect Square Trinomial:
- a2 + 2ab + b2 = (a + b)2✔️
- a2 + 2ab + b2 = (-a - b)2❌
- a2 - 2ab + b2 = (a - b)2✔️
- a2 - 2ab + b2 = (-a + b)2❌
- Sum/Difference of Cubes:
- a3 + b3 = (a + b)(a2 - ab + b2)✔️
- a3 + b3 = (-a - b)(-a2 + ab - b2)❌
- a3 - b3 = (a - b)(a2 + ab + b2)✔️
- a3 - b3 = (-a + b)(-a2 - ab - b2)❌
Problem:
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Factoring a Difference of Squares:
- a2 - b2 = (a + b)(a - b)
Factoring Perfect Square Trinomials:
- a2 + 2ab + b2 = (a + b)2
- a2 - 2ab + b2 = (a - b)2
Factoring a Sum/Difference of Cubes:
- a3 + b3 = (a + b)(a2 - ab + b2)
- a3 - b3 = (a - b)(a2 + ab + b2)
Step-by-Step:
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