College Algebra CLEP Prep Practice Exam

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Find the product of the binomial (x + 5)(2x - 3)

  1. -16x + 15

  2. -16x - 15

  3. 16x + 15

  4. 16x - 15

The correct answer is: 16x + 15

To solve this problem, we will use the FOIL method, where we multiply the first terms, outer terms, inner terms, and last terms and add them together. For the first terms, we have (x)*(2x) = 2x^2. For the outer terms, we have (x)*(-3) = -3x. For the inner terms, we have (5)*(2x) = 10x. For the last terms, we have (5)*(-3) = -15. Combining all these terms, we have 2x^2 - 3x + 10x - 15. Simplifying, we get 2x^2 + 7x - 15. Therefore, the correct answer is C 16x + 15. Options A and B have the wrong sign for the term 7

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