College Algebra CLEP Prep Practice Exam

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Simplify the expression (x^3 + 7x^2 – 4x + 2)/(x – 2).

  1. x^2 + 9x -2

  2. x^2 + 7x -2

  3. x^2 + 5x -6

  4. x^3 + 7x + 2

The correct answer is: x^2 + 9x -2

To simplify the expression, we need to perform long division. We start by dividing x^3 by x, which is x^2. Then, we multiply x^2 by (x-2) to get x^3 - 2x^2. We subtract this from the original expression to get 9x^2 - 4x + 2. We repeat this step with 9x^2 and get 9x^2 - 18x. We then subtract this from the remaining terms in the expression to get 14x + 2. We divide 14x by x to get 14. We multiply 14 by (x-2) to get 14x - 28. We subtract this from the remaining terms in the expression to get 30. Therefore, the simplified expression is x^2 + 9x -2. The

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