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# If a, b and c are integers and x^3-x^2-x+1=(x + a) (x + b) (x + c),

Author Message
Director
Joined: 18 Feb 2019
Posts: 580
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If a, b and c are integers and x^3-x^2-x+1=(x + a) (x + b) (x + c),  [#permalink]

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29 Mar 2019, 12:38
1
00:00

Difficulty:

65% (hard)

Question Stats:

35% (01:44) correct 65% (01:53) wrong based on 17 sessions

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If a, b and c are integers and x^3-x^2-x+1=(x + a) (x + b) (x + c), Is b = c?

(1) a < 0

(2) b > 0
Booth Moderator
Joined: 11 Feb 2018
Posts: 293
Location: India
Concentration: General Management, Finance
GMAT 1: 690 Q47 V37
GMAT 2: 710 Q50 V36
GMAT 3: 750 Q50 V42
Re: If a, b and c are integers and x^3-x^2-x+1=(x + a) (x + b) (x + c),  [#permalink]

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29 Mar 2019, 21:16
You have to factor the equation.Otherwise we can't probably solve.

x^3-x^2-x+1=(x - 1) (x - 1) (x + 1).

Among a, b , c we have 2 values -ve.

A)If a<0 we have either b or c -ve but not both.So b is not equal to c. Sufficient.

B)If b>0 we have both a & c as -ve.So also b is not equal to c.Sufficient.

Hence D.

This question is asking us to factories the equation.Not sure if the GMAT would ask us to do that.
Re: If a, b and c are integers and x^3-x^2-x+1=(x + a) (x + b) (x + c),   [#permalink] 29 Mar 2019, 21:16
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