Q. 244.1( 10 Votes )

If f(x) = x3

Answer :

a = 2, b = 0

Given,


A polynomial f(x) = x3 + x2 – ax + b


Which is divisible by x2 – x


Now,


x2 – x = (x – 1) = (x – 0)(x – 1)


(x – 0) and (x – 1) are factors of polynomial f(x)


f(0) = 0


03 + 0 – a × 0 + b = 0


b = 0


And f(1)


13 + 1 – a × 1 + b = 0


2 – a = 0


a = 2


a = 2 and b = 0


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