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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.

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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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