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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` , then find the value of `f(2)dot`

Text Solution

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The correct Answer is:
`f(2) = 4`
`f(x)` is divisible by `x^(2) - x or x(x - 1)`
`rArr f(0) = 0 or b = 0`
Also `f(1) = 0 or 1 -1 + a + b = 0 a = 0`
`rArr f(x) = x^(3) - x^(2)`
`rArr f(2) = (2)^(3) - (2) ^(2) = 4`
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