SAT Math Multiple Choice Question 126: Answer and Explanation

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Question: 126

6. Which of the following is equivalent to the expression x4 - x3 - x2 ?

  • A. x(x2 - x - 1)
  • B. x(x - x2 - x3)
  • C. x(x3 - x2)
  • D. x2(x2 - x - 1)

Correct Answer: D


DTo solve this question, simply factor out the largest value that fits within each of the terms in the expression provided. In this case, x4, x3, and x2 are all divisible by x2, so that is what you will want to factor out. Doing so will leave you with x2 (x2 - x - 1), which is (D).

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