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
(1) a = 1
(2) b = 2
OA - D Pls explain
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
