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If x is an integer, then which of the following is the product of the
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05 Feb 2021, 09:15
05 Feb 2021, 09:15
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If x is an integer, then which of the following is the product of the next two integers greater than 2(x + 1)?
(A) \(4x^2 + 14x + 12\)
(B) \(4x^2 + 12\)
(C) \(x^2 + 14x + 12\)
(D) \(x^2 + x + 12\)
(E) \(4x^2 + 14x\)
(A) \(4x^2 + 14x + 12\)
(B) \(4x^2 + 12\)
(C) \(x^2 + 14x + 12\)
(D) \(x^2 + x + 12\)
(E) \(4x^2 + 14x\)
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Re: If x is an integer, then which of the following is the product of the
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05 Feb 2021, 09:27
05 Feb 2021, 09:27
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Carcass wrote:
If x is an integer, then which of the following is the product of the next two integers greater than 2(x + 1)?
(A) \(4x^2 + 14x + 12\)
(B) \(4x^2 + 12\)
(C) \(x^2 + 14x + 12\)
(D) \(x^2 + x + 12\)
(E) \(4x^2 + 14x\)
(A) \(4x^2 + 14x + 12\)
(B) \(4x^2 + 12\)
(C) \(x^2 + 14x + 12\)
(D) \(x^2 + x + 12\)
(E) \(4x^2 + 14x\)
2(x + 1) = 2x + 2
So, the NEXT two integers are 2x + 2 + 1 and 2x + 2 + 2
In other words, the NEXT two integers are 2x + 3 and 2x + 4
So, the required product is (2x + 3)(2x + 4)
Apply the FOIL method to get: (2x + 3)(2x + 4) = 4x² + 8x + 6x + 12 = 4x² + 14x + 12
Answer: A
gmatclubot
Re: If x is an integer, then which of the following is the product of the [#permalink]
05 Feb 2021, 09:27
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