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

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

(i)deg p(x) = deg q(x)  (ii) deg q(x) = deg r(x) And (iii) deg r(x) = 0

We can write  many such examples

(i)deg p(x) = deg q(x)

We can write  many such examples

P(x)  = x²   , q(x) = x²  g(x) = 1 R(x) = 0

(ii) deg q(x) = deg r(x)

Q(x) = x , R(x) = x , p(x) = x² + x   g(x) = x²

(iii) deg r(x) = 0

Q(x) = 1 , R(x) = 1 , p(x) = x+1, g(x) = x