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
$g(x)=a x^{2}+b x+c$
Therefore degree of $(f(x))=4$
Degree of $(g(x))=2$
The quotient $\mathrm{q}(\mathrm{x})$ 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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