Question

If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.

Answer 1

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