College Algebra CLEP Prep Practice Exam

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Find the product of the polynomials (x + 3)(x - 5).

  1. x2 + 2x - 15

  2. x2 + 8x - 15

  3. x2 - 2x - 15

  4. x2 - 8x - 15

The correct answer is: x2 + 8x - 15

In this problem, we are asked to find the product of the polynomials (x + 3)(x - 5). To find the product of two binomials, we can use the FOIL method, which stands for first, outer, inner, last. This means we multiply the first terms, then the outer terms, then the inner terms, and finally the last terms. In this case, the first terms are x and x, the outer terms are x and -5, the inner terms are 3 and x, and the last terms are 3 and -5. When we multiply the first terms, we get x^2. When we multiply the outer terms, we get -5x. When we multiply the inner terms, we get 3x. And when we multiply the last terms, we get -15. Combining these terms, we get

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