 ## Book: RD Sharma - Mathematics

### Chapter: 2. Polynomials

#### Subject: Maths - Class 10th

##### Q. No. 1 of Exercise 2.3

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##### Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x) by g(x) in each of the following:(i) (ii)  (iii) (iv)  (i) and Degree of ; therefore degree of and degree of remainder is less than 2,

Let and By applying division algorithm:

Dividend = Quotient× Divisor + Remainder On substituting values in the above relation we get,   On comparing coefficients we get,    On solving above equations we get, , , , On substituting these values for   (ii) and Degree of ; therefore degree of and degree of remainder is less than 2.

Let and By applying division algorithm:

Dividend = Quotient× Divisor + Remainder On substituting values in the above relation we get,   On comparing coefficients we get,     On solving above equations we get, , , , ; On substituting these values for   (iii) and Degree of ; therefore degree of and degree of remainder is less than 2,

Let and By applying division algorithm:

Dividend = Quotient× Divisor + Remainder On substituting values in the above relation we get,   On comparing coefficients we get,    On solving above equations we get, , , , On substituting these values for   (iv) and Degree of ; therefore degree of and degree of remainder is less than 2,

Let and By applying division algorithm:

Dividend = Quotient× Divisor + Remainder On substituting values in the above relation we get,   On comparing coefficients we get,    On solving above equations we get, , , , On substituting these values for   1

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