Entry Exam Category: High School Equivalency Exams
Course: General Education Development (GED)
Exam: GED Math practice test
Practice Question
Select the factors for the following expression 2x^2 - xy - 3y^2
Answer Choices
- A: (2x+3y)(x-y)
- B: (x+y)(2x-3y)
- C: (2x-y)(x+3y)
- D: (2x-3y)(x+y)
Correct Answer: D
Rationale: Factor 2x^2 - xy - 3y^2. Test option D: (2x-3y)(x+y) = 2x^2 + 2xy - 3xy - 3y^2 = 2x^2 - xy - 3y^2, which matches. Other options do not yield the correct middle term. Thus, the correct answer is (2x-3y)(x+y).