SAT Math Multiple Choice Question 533: Answer and Explanation

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Test Information

Question: 533


Which of the following is equivalent to the expression above, given that x ≠ 2?

  • A. –x – 12
  • B. x – 12
  • C. 12 – x
  • D. x + 12

Correct Answer: D



Difficulty: Hard

Category: Passport to Advanced Math / Exponents

Strategic Advice: You could use polynomial long division to answer this question, or you could try to factor the numerator and see if any terms cancel. It is very tricky to factor a quadratic equation with a negative coefficient on x2, so start by factoring –1 out of both the numerator and the denominator.

Getting to the Answer: To factor the resulting quadratic in the numerator, you need to find two numbers whose product is –24 and whose sum is 10. The numbers are –2 and +12.

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