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Advanced Math / Equivalent expressions Difficulty: Easy

Which of the following is equivalent to $2 x cubed, plus 4$ ?

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Explanation

Choice D is correct. The expression $2 x cubed, plus 4$ has two terms, $2 x cubed$ and 4. The greatest common factor of these two terms is 2. Factoring 2 from each of these terms yields $2 times x cubed, plus, 2 times 2$ , or $2 times, open parenthesis, x cubed plus 2, close parenthesis$ .

Choices A and B are incorrect because 4 is not a factor of the term $2 x cubed$ . Choice C is incorrect and may result from factoring 2 from $2 x cubed$ but not from 4.