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Advanced MathEasyFactoring out the greatest common factor

Advanced Math practice question

The expression 6x + 9 is equivalent to k(2x + 3) for a constant k. What is the value of k?

  1. A. 3Correct
  2. B. 2
  3. C. 6
  4. D. 9

Answer: A. 3

Both terms share the factor 3: 6x + 9 = 3(2x + 3).

Why the other answers are wrong

B. 2
k = 2 gives 4x + 6, not 6x + 9.
C. 6
k = 6 gives 12x + 18 — twice too large.
D. 9
k = 9 gives 18x + 27 — three times too large.

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