Find the remainder when `x^3 + 3x^2 + 3x + 1` is divided by `x-1/2`

Find the remainder when x ^(3) + 3x ^(2) + 3x +1 is divided by the following Linear polynomials: (i) x +1 (ii) x - 1/2 (iii) x (iv) x + pi (v) 5 + 2x

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

Find the remainder when x ^(3) - px ^(2) + 6x -p is divided by x -p.

Find the remainders when (i) (x^(3)+3x^(2)+3x+1) is divided by (x+pi) , (ii) (x^(3)-ax^(2)+6x-a) is divided by (x - a) ,

Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

Find the remainder when f (x) =x ^(4) - 3x ^(2) + 4 is divided by g (x) =x -2 and verify the result by actual division .

Find the remainder when x^5+ 5x^4 + x^3 + 5x^2 + 2x + 11 is divided by x + 5

Find the remainder when 2x^2+7x^2-x+8 is divided by x-1.

Using the remainder theorem, find the remainders when x^(3)-3x^(2)+2x+5 is divided by (i) x + 2 and (ii) 2x + 1.