College Algebra CLEP Prep Practice Exam

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Simplify 3x(2x^2 – 6x + 8).

6x^3 – 18x^2 + 24x
16x^3 – 6x^2 + 8x
6x^3 – 18x + 24
6x^2 – 18x^2 + 24

The correct answer is: 6x^3 – 18x^2 + 24x

To simplify this expression, we need to distribute the 3x to each term inside the parenthesis. This means we multiply 3x by each term individually. Therefore, the first term becomes 3x * 2x^2 = 6x^3, the second term becomes 3x * (-6x) = -18x^2, and the third term becomes 3x * 8 = 24x. Combining these terms, we get 6x^3 – 18x^2 + 24x. Option B is incorrect because 16x^3 would be the result if we multiplied 3x with 2x^2 * 2x instead of 3x * 2x^2. Option C is incorrect because the term with the variable x is missing and there is an extra term of 24.