The number of roots common between the two equations x3 + 3x2 + 4x + 5 = 0 and x3 + 2x2 + 7x + 3 = 0 is  Choices
A) 0
B) 1
C) 2
D) 3
E) 4
Explanation :   Let α is the common root.   ∴ α3 + 3α2 + 4α + 5 = 0. ............................(i)   α3 + 2α2 + 7α + 3 = 0. .............................(ii)   On subtracting (ii) from (i), we get   α2 - 3α + 2 = 0.   α = 2, α = 1.   But the above values of α do not satisfy any of the equations. Thus, no root is common.   0nswer : 0
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The number of roots common between the two equations x3 + 3x2 + 4x + 5 = 0 and x3 + 2x2 + 7x + 3 = 0 is