maths

# Give examples of polynomials and , which satisfy the division algorithm and (i) deg deg  (ii) deg deg (iii) deg

## (i) deg p(x) = deg q(x) We know the formula, Dividend = Divisor x quotient + Remainder So here the degree of quotient will be equal to degree of dividend when the divisor is constant. Let us assume the division of by . Here, and Degree of and is the same i.e., . Checking for division algorithm, Hence, the division algorithm is satisfied. (ii) deg q(x) = deg r(x) Let us assume the division of by , Here, p(x) = , g(x) = , q(x) = x and r(x) = x Degree of q(x) and r(x) is the same i.e., 1. Checking for division algorithm, Hence, the division algorithm is satisfied. (iii) deg r(x) = 0 Degree of remainder will be 0 when remainder comes to a constant. Let us assume the division of by Here, p(x) = g(x) = and Degree of is Checking for division algorithm, Hence, the division algorithm is satisfied.

Answer verified by Toppr

## NCERT Solution for Class 10 Maths Chapter 1,2,13,14

96 Qs
>

View more

### Learn with content

Watch learning videos, swipe through stories, and browse through concepts

• Concepts
>
• Videos
>
• Stories
>