SAT Math Multiple Choice Question 902: Answer and Explanation

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Question: 902

2. If g(x) = -2(x2 – 6x – 12) + 3(kx) and g(x) is evenly divisible by x, then what is the value of k?

  • A. -8
  • B. -3
  • C. 2
  • D. 3

Correct Answer: A



Difficulty: Medium

Category: Passport to Advanced Math / Exponents

Strategic Advice: If a polynomial is evenly divisible by x, then x has to be a factor of the polynomial, which means that when simplified, every term must have an x in it. In other words, the polynomial cannot contain a constant term.

Getting to the Answer: Start by simplifying g(x). Be careful when distributing the -2:

To ensure that there is no constant term, set 3k + 24 equal to 0 and solve for k.

The correct answer is (A).

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