FIND a IF (x-a) is a factor of x*x*x-a*a*x+x+2

Asked by AYUSH | 25th May, 2013, 03:33: PM

Expert Answer:

f(x) = x*x*x-a*a*x+x+2  
To check if (x-a) is a factor of f(x), we can use remainder theorem and if f(a) = 0, then (x-a) is a factor of f(x) else not. 
f(a) = a^3 -a^3+a+2 = a+2
which is not equal to zero for all values of a. 
Hence, (x-a) is not a factor of f(x)

Answered by  | 25th May, 2013, 09:59: PM

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