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(x + a)(x + b)

Expert replies
by crackgmat007 » Sat Jun 06, 2009 8:56 pm
If x^2 + 3x + c = (x + a)(x + b) for all x, what is the value of c ?
(1) a = 1
(2) b = 2

OA - D Pls explain
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Source: — Data Sufficiency |

by cramya » Sat Jun 06, 2009 9:33 pm
In a quadratic equation

x^2+3x+c = (X+a) (x+b)

The factors are a and b (this means -a and -b are the roots of this quadratic)

3 is nothing but sum of the factors (a+b)
c is nothing but product of the factors(a*b)

Stmt I

a=1
a+b = 3
1+b=3
b=2

we can find c= a*b (1*2)

SUFF

Stmt II

b=2

We know a+b=3 and b=2 so a=1

c=a*b = 1*2 = 2

SUFF

Hope I dint miss something. I have explained in detail but once we get the concept we dont have to even waste time doing the above.

Let me know if u still hv questions.

D
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by crackgmat007 » Mon Jun 08, 2009 8:23 am
great explanation...i get it. tx much
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