# SAT Math Multiple Choice Question 533: Answer and Explanation

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**Question: 533**

**8.**

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

**Explanation:**

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.