The expression is equivalent to for some constant a . What is the value of a ?

Question

Accepted Answer

Choice D is correct. It&rsquo;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&rsquo;t equivalent to . Choice B is incorrect. If the value of a were 3, then would be equivalent to , which isn&rsquo;t equivalent to . Choice C is incorrect. If the value of a were 4, then would be equivalent to , which isn&rsquo;t equivalent to .

Question the-ex