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 f(x)=8+20x+x^(2)-6x^(3) and g(x)=2+5x-3x^(2)

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

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 .

If p(x)=x^(3)-3x^(2)+2x , find p (0) , p(1) , p(2). What do you conclude?

Find a zero of the polynomial : (i) p(x)=4x-3 (ii) p(x)=2x-2

Find a zero of the polynomial : (i) p(x)=4x-3 (ii) p(x)=2x-2

If p(x)=x^(3)-5x^(2)+4x-3 andg(x)=x-2 show that p(x) is not a multiple of g(x).

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.

If the polynomial p(x)=x^(3)+6x^(2)+4x+k is divisible by (x + 2), then k =

Find the remainder when the polynomial p(x)=x^(3)-3x^(2)+4x+50 is divided by g(x)=x+3 .