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Question
If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.
Solution
Here `f (x)` represent dividend and g(x) represent divisor.
`g (x)` =quadratic polynomial
`g(x)= ax^2 + bx + c`
Therefore degree of `(f(x))=4`
Degree of `(g(x))= 2`
The quotient q(x) is of degree `2 (=4-2)`
The remainder `r (x)` is of degree 1 or less.
Hence, the degree of the remainder is equal to 1 or less than 1
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