Home
Class 10
MATHS
Give examples of polynomials p(x), g(x),...

Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and
deg r(x) = 0

Text Solution

Verified by Experts

The correct Answer is:
`p(x)= 2x^(3)+2x^(2)-6x+2, g(x)= x^(2)-x-1, q(x)= 2x+4, r(x)=6`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 9.4)|6 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 9.2)|12 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.7)|12 Videos

  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos

Similar Questions

Explore conceptually related problems

Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and deg q(x) = deg r(x)

Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and deg p(x) = deg q(x)

In the polynomial g(x)= x-2, q(x)= x^(2)-x+1 and r(x)= 4 find p(x)

Devide p(x) by g(x) in each of the following cases and verify division algorithm: p(x)= x^(2)+4x+4, g(x)= x+2

Divide 6 + 19 x + x^(2) - 6x^(3) by 2 + 5x - 3x^(2) and verify division algorithm.

Devide p(x) by g(x) in each of the following cases and verify division algorithm: p(x)= 2x^(2)-9x+9, g(x)= x-3

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : i] p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2 ii] p(x) = x^(4) - 3x^(2) + 4x + 5, g(x) = x^(2) + 1 - x iii] p (x) = x^(4) - 5 x + 6 g(x) = 2 - x^(2)