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)=x^(3)+2x^(2)-x+2,g(x)=x^(2)-1,q(x)=x+2,r(x)=4`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

Give two examples of the polynomials p(x) and g(x) satisfying division algoritham.

Divide 3x^(2)-x^(3)-3x+5 by x-1-x^(2) , and verify the division algorithm.

Divide 3x^(2)+x^(3)-3x+5 by x-1-x^(2) , and verify the division algorithm.

Divide 4x^3+2x^2+x+6 by 2+4x+x^2 and verify the division algorithm.

Divide 7x^3-6x^2+2x+8 by x^2+2x+5 and verify the division algorithm.

Divide 3x^(4) - 5x^(3)+4x^(2)+3x-5 by x^(2) - 3 and verify the division algorithm.

For a polynomial p(x) If p(a) = 0, then a is called a ________ of the polynomial.