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Sub 505 Level|   Algebra|   Arithmetic|                  
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Bunuel
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If x = -1, then -(x^4 + x^3 + x^2 + x) = 03 Feb 2014, 01:23
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

96% (00:29) correct 4% (00:48) wrong based on 1690 sessions

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If x = -1, then -(x^4 + x^3 + x^2 + x) =

(A) -10
(B) - 4
(C) 0
(D) 4
(E) 10
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C
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If x = -1, then -(x^4 + x^3 + x^2 + x) = 03 Feb 2014, 01:24
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SOLUTION

If x = -1, then -(x^4 + x^3 + x^2 + x) =

(A) -10
(B) - 4
(C) 0
(D) 4
(E) 10

Substitute x = -1:

\(-(x^4 + x^3 + x^2 + x) =-(1-1+1-1)=0\).

Answer: C.
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If x = -1, then -(x^4 + x^3 + x^2 + x) = 03 Feb 2014, 02:47
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(c) a ???
Maybe you meant 0?
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If x = -1, then -(x^4 + x^3 + x^2 + x) = 03 Feb 2014, 09:09
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-[(-1)^4 + (-1)^3 +(-1)^2 +(-1)^1] = (1-1+1-1) = 0
Is (C) that answer?
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If x = -1, then -(x^4 + x^3 + x^2 + x) = 03 Feb 2014, 11:05
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Ans should be '0' but it's not in the options.

Any -ve raised to even power will be +ve
Any -ve raised to odd power will remain -ve.

And '1' raised to any power=1 only.
Therefore, the question becomes -(1-1+1-1)=0
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If x = -1, then -(x^4 + x^3 + x^2 + x) = 08 Feb 2014, 03:16
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SOLUTION

If x = -1, then -(x^4 + x^3 + x^2 + x) =

(A) -10
(B) - 4
(C) 0
(D) 4
(E) 10

Substitute x = -1:

\(-(x^4 + x^3 + x^2 + x) =-(1-1+1-1)=0\).

Answer: C.
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If x = -1, then -(x^4 + x^3 + x^2 + x) = 15 Sep 2019, 03:13
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Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x = -1, then -(x^4 + x^3 + x^2 + x) =

(A) -10
(B) - 4
(C) 0
(D) 4
(E) 10

Problem Solving
Question: 74
Category: Arithmetic Operations on rational numbers
Page: 71
Difficulty: 550

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Given: x = -1

Asked: -(x^4 + x^3 + x^2 + x) = ?

-(x^4 + x^3 + x^2 + x) = - (1-1+1-1) = 0

IMO C
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