The expression is equivalent to
for some constant a. What is the value of a ?
Correct answer: D
Explanation
Choice D is correct. It’s given that is equivalent to
for some constant a. Distributing the x over each term in the parentheses gives
, which is in the same form as the first given expression,
. The coefficient of the second term in
is 7. Therefore, the value of a is 7.
Choice A is incorrect. If the value of a were 2, then would be equivalent to
, which isn’t equivalent to
. Choice B is incorrect. If the value of a were 3, then
would be equivalent to
, which isn’t equivalent to
. Choice C is incorrect. If the value of a were 4, then
would be equivalent to
, which isn’t equivalent to
.
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