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GRE Math Challenge #95- x^2 + 2x + 1 or x^2
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Updated on: 20 Feb 2020, 00:35
Updated on: 20 Feb 2020, 00:35
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Question Stats:
76% (00:32) correct
23% (00:34) wrong based on 198 sessions
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Quantity A |
Quantity B |
\(x^2 + 2x + 1\) |
\(x^2\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
GRE Math Challenge #95- x^2 + 2x + 1 or x^2
[#permalink]
07 Aug 2017, 08:14
07 Aug 2017, 08:14
3
sandy wrote:
Quantity A: \(x^2 + 2x + 1\)
Quantity B: \(x^2\)
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
Quantity B: \(x^2\)
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
Given:
Quantity A: x² + 2x + 1
Quantity B: x²
Subtract x² from both quantities to get:
Quantity A: 2x + 1
Quantity B: 0
Now let's test some values of x
Try x = 1
We get:
Quantity A: 2(1) + 1 = 3
Quantity B: 0
In this case, Quantity A is greater
Try x = -1
We get:
Quantity A: 2(-1) + 1 = -1
Quantity B: 0
In this case, Quantity B is greater
Answer: D
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GRE Math Challenge #95- x^2 + 2x + 1 or x^2
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12 Jul 2021, 07:21
12 Jul 2021, 07:21
Hello, I'm curious to know why you would not solve this by factoring (x-1)2 for A and x2 for B? Could you please explain how?
