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Equivalent expressions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

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

ExplanationShow

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.

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