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NCERT Class 10 Mathematics Solutions: Chapter 2- Polynomials Exercise 2.3 Part 4
1. Give examples of polynomial which satisfy the division algorithm and
(i)
(ii)
(iii)
Answer:
According to the division algorithm, if are two polynomials with
Then we can find polynomials such that
Where or degree of degree of
Degree of quotient will be equal to degree of dividend when divisor is constant.
(i) Now assume the division of by
Degree of is same i.e.. , 2.
Checking for division algorithm,
Or,
Hence, division algorithm is satisfied.
(ii) Assume the division of
Clearly, the degree of is the same i.e.. , 1
Checking for division algorithm
So, the division algorithm is satisfied.
(iii) Assume the division of by
Clearly, the degree of is 0.
Checking for division algorithm,
Thus, the division algorithm is satisfied.