College Math CLEP Prep Practice Exam

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What is the simplified form of (5x+3)(x-7)?

5x-21
5x^2+18
5x^2-21x
5x^2-23x+21

The correct answer is: 5x^2-23x+21

The simplified form of the expression (5x+3)(x-7) is 5x^2-23x+21. This is because in order to simplify, we must distribute the 5x and 3 to each term within the parentheses. This results in 5x^2-35x+3x-21, which can then be combined and simplified to 5x^2-23x+21. Option A is incorrect because it only accounts for the distribution of the 5x, but not the 3. Option B is incorrect because it does not distribute the 5x to the (x-7) term. Option C is incorrect because it does not account for the distribution of the 3 as well as the -7 in the second parentheses. Therefore, the only correct option is D, which fully distributes and simplifies the expression.