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

If `f(x)=x^3-3x^2+2x+a` is divisible by `x-1,` then find the remainder when `f(x)` is divided by `x-2.`

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The correct Answer is:
Remainder is 0
`f(x) is divisible by x - 1`
`rArr f(1) = 0`
`rArr 1 -3 + 2 a = 0`
`rArr a = 0`
`rArr f(x) = x^(3) - 3x^(2) + 2x `
Now reminder when f(x) is divided by x - 2 is f(2)
`rArr f(2) = (2)^(3) - 3(2)^(2) + 2(2) = 0`
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