`3x^3+x^2+2x+5` is divided by `1+2x+x^2`

The remainder when 3x^(3) + x^(2) + 2x + 5 is divided by x^(2) + 2x + 1 is ………….

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by : 5+2x .

Find the remainder if x^(5) - 3x^(3) + 5x + 1 is divided by 2x -1

The remainder when x^(5) - 2x^(4) + 4x^(3) + 3x^(2) + 5x - 7 is divided by x - 1 is

The remainder when 2x^(5) - 3x^(4) + 5x^(3) - 7x^(2) + 3x - 4 is divided by x - 2 is

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.

Find, in each case, the remainder when : (i) x^(4)- 3x^2 + 2x + 1 is divided by x - 1. (ii) x^2 + 3x^2 - 12x + 4 is divided by x - 2. (iii) x^4+ 1 is divided by x + 1.

Find the quotient when p(x) = 3x^(4)+5x^(3) - 7x^(2) + 2x + 2 is divided by (x^(2)+3x + 1) .