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 r(x)= 0 .

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)

Find the zeroes of the given polynomials. p(x)=(x+2)(x+3)

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.

Answer the following by a number or a word or a sentence : If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x) ?

For the polynomial p(x), if p(2) = 0, then ……… is a factor of p(x).

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

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x)= x^(3)-3x^(2)+5x-3, g(x)= x^(2)-2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x)= x^(4)-5x+6, g(x)= 2-x^(2) .