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Find the remainder when f(x)=x^4-3x^2+4 ...

Find the remainder when `f(x)=x^4-3x^2+4` is divided by `g(x)=x-2` is.

Text Solution

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`f(x)=x^4-3x^2+4`
`g(x)=x-2`
`g(x)=0=x-2=0`
`x=2`
Putx=2 in f(x)
`f(x)=f(2)-2^4-3(2)^2+4`
`f(2)=16-12+4=8`
When f(x) is divided by g(x) then remainder in 8.
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