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) .

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

Find the zeroes of the polynomial: p(x)=x-4

Find the zero of the polynomial: p(x)=x-4

Find the zeroes of the polynomial: q(x)=x+7

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

Find the zero of the polynomial: q(x)=2x+3

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=x-1-x^2,p(x)=3x^2-x^3-3x+5 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=2x-1,p(x)=4x^3-12x^2+14x-3 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=3x+10,p(x)=9x^3-27x^2-100x+300 .