Which of the following is equivalent to 2x^3 + 4 ?

The correct answer is D. Choice D is correct. The expression 2x^3 + 4 has two terms, 2x^3 and 4 . The greatest common factor of these two terms is 2 . Factoring 2 from each of these terms yields 2 × x^3 + 2 × 2 , or 2(x^3 + 2) .

Note: Graph the original expression and test the answer choices; choice D overlaps it.

SAT Question 294db8ec: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect because $4$ is not a factor of the term $2 x^{3}$ .

Choice B

Choice B is incorrect because $4$ is not a factor of the term $2 x^{3}$ .

Choice C

Choice C is incorrect and may result from factoring $2$ from $2 x^{3}$ but not from $4$ .

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 294db8ec: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong