[" 2.Verify the division algorithm for the polynomute "],[qquad p(x)=2x^(4)-6x^(3)+2x^(2)-x+2" and "g(x)=x+2]

Verify the division algorithm for the polynomials p(x)=2x^(4)-6x^(3)+2x^(2)-x+2andg(x)=x+2 . p(x)=2x^(3)-7x^(2)+9x-13,g(x)=x-3 .

Verify division algorithm for the polynomials f(x)=8+20x+x^(2)-6x^(3) and g(x)=2+5x-3x^(2)

Verify division algorithm for the polynomials p(x)=3x^(4)-4x^(3)-3x-1andg(x)=x-2 . Find p(2) . What do you observe ?

Verify division algorithm for the polynomials p(x)=x^(3)+x^(2)+2x+3andg(x)=x+2 . Find p(-2) . What do you observe ?

f(x)=x^(3)-6x^(2)+2x-4,g(x)=1-2x

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^(3)-6x^(2)+11x-6 by g(x)=x+2

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^3-6x^2+11 x-6 by g(x)=x+2

Find the quotient and remainder in each of the following and verify the division algorithm : (i) p(x) =x^(3)-4x^(2)+2x-1 is divided by g(x)=x+2. (ii) p(x) =x^(4)+2x^(2)-x+1 is divided by g(x) =x^(2)+1 . (iii) p(x) =2x^(4)-3x^(3)+x^(2)+5x-3 is divided by g(x) =x^(2)+x-1 . (iv) p(x) =x^(4)-5x^(2)+6 is divided by g(x)=x+2.

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^4-5x+6 by g(x)=2-x^2

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^(4)-5x+6 by g(x)=2-x^(2)