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If f(x)=x^3+x^2-a x+b is divisible by x^...

If `f(x)=x^3+x^2-a x+b` is divisible by `x^2-x` write the values of `a` and `b` .

A

` a = 2 and -2`

B

` a = 2 and 0`

C

` a = 0 and -2`

D

` a = 2 and -3`

Text Solution

Verified by Experts

The correct Answer is:
B

On dividing `x^(3) + x^(2) - ax+b" by " x^(2) - x` , we get

`:. (2-a=0 and b = 0) rArr a = 2 and b = 0.`
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