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Question
f(x) = x4 − 3x2 + 4, g(x) = x − 2
Solution
Let us denote the given polynomials as
`f(x) = x^4 - 3x^2 + 4,`
`g(x) = x-2`
We have to find the remainder when f(x) is divided by g(x).
By the remainder theorem, when f(x)is divided by g(x) the remainder is
`f(2) = (2)^4 - 3 (2)^2 + 4`
` = 16 - 12 + 4`
` = 8`
We will calculate remainder by actual division
So the remainder is 8
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