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equation

Expert replies
by shashank.ism » Tue Feb 09, 2010 7:11 am
The cubic equation x3 - Ax2 + Bx - C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?


If C is an even number then B must be an even number
If B is an even number then A must be an even number.
If A is an even number then C must be an even number.
If C is an odd number then A must be an even number.
None of the above.
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Source: — Problem Solving |

by Brent@GMATPrepNow » Tue Feb 09, 2010 7:23 am
shashank.ism wrote:The cubic equation x3 - Ax2 + Bx - C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?

If C is an even number then B must be an even number
If B is an even number then A must be an even number.
If A is an even number then C must be an even number.
If C is an odd number then A must be an even number.
None of the above.
Out of scope - not required material for the GMAT
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by shashank.ism » Tue Feb 09, 2010 7:26 am
Brent Hanneson wrote:
shashank.ism wrote:The cubic equation x3 - Ax2 + Bx - C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?

If C is an even number then B must be an even number
If B is an even number then A must be an even number.
If A is an even number then C must be an even number.
If C is an odd number then A must be an even number.
None of the above.
Out of scope - not required material for the GMAT
hmm..ok thnx brent.. so we should leave questions of 3rd degree.polynomial..
..guys leave it..
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