College Algebra CLEP Prep Practice Exam

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What is the result when adding the coefficients of the two trinomials (x + 4)(x + 5) + (x - 3)(x - 2)?

  1. -4x

  2. 4x

  3. 4

  4. 12

The correct answer is: 4

When adding the coefficients of the two trinomials (x + 4)(x + 5) + (x - 3)(x - 2), the result is the constant term of the simplified trinomial. In this case, we have (1)(1) + (1)(1) = 1 + 1 = 2. Therefore, the correct answer is C. Option A and B are incorrect because they are referring to the x variable and not the constant term. Option D is incorrect because it only considers the coefficients of the second trinomial and not both. The correct answer is C because it considers the sum of the coefficients of both trinomials.

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