# If Fourth Degree Polynomial is Divided by a Quadratic Polynomial, Write the Degree of the Remainder. - Mathematics

Sum

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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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 23 | Page 60

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