If x^2 + 3x + c = (x + a)(x + b) for all x, what is the : DS Archive
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# If x^2 + 3x + c = (x + a)(x + b) for all x, what is the

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If x^2 + 3x + c = (x + a)(x + b) for all x, what is the [#permalink]

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17 Dec 2009, 02:00
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If x^2 + 3x + c = (x + a)(x + b) for all x, what is the value of c ?
(1) a = 1
(2) b = 2
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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17 Dec 2009, 02:26
from the equation

3 = a+b
c = ab

(1) a = 1 => b = 2 => c = 2. Sufficient
(2) b = 2 ...on similar line. Sufficient

Therefore the answer is D
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17 Dec 2009, 02:46
IMO D
agreed with msunny
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17 Dec 2009, 21:07
a+b=3, and ab=c

2 equations, 3 unknowns

Therefore, either knowing a or b can solve for the C.

The answer is D.
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18 Dec 2009, 11:58
welcome. This is a good question.
Re: DS:Factors   [#permalink] 18 Dec 2009, 11:58
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# If x^2 + 3x + c = (x + a)(x + b) for all x, what is the

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