 ## Book: RD Sharma - Mathematics

### Chapter: 2. Polynomials

#### Subject: Maths - Class 10th

##### Q. No. 2 of Exercise 2.3

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2
##### Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm:(i) (ii)  (iii)  (i) and Degree of ; therefore degree of and degree of remainder is of degree 1 or less,

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   Since remainder is zero, therefore (ii) and Degree of ; therefore degree of and degree of remainder is of degree 1 or less,

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   Since remainder is 2, therefore (iii) and Degree of ; therefore degree of and degree of remainder is of degree 2 or less,

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   Since remainder is , therefore 2

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