chetan2u wrote:
Bunuel wrote:
What is the product of all the possible values of x if x^2(x + 2) + 7x(x + 2) + 6(x + 2) = 0?
A. –29
B. –12
C. 12
D. 29
E. 168
Hi,
the answer can be found in 10 secs, if you know the properties of the equations...
possible value of x means root of the equation..
the product of all roots=(-1)*highest power of x* the term without the variable(x here)/coeff of highest power of teh variable..
=-6*2/1=-12
B
By simple algebra, taking (x+2) common in the equation leaves,
\((x+2)(x^2 + 7x + 6)\) = 0
or (x+2)(x+1)(x+6) = 0.
This gives following possible values of x-
x = -2
x = -1
x = -6
So, the product of the three values = -12
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