College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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

x^2 + 9x -2
x^2 + 7x -2
x^2 + 5x -6
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