If `A = 6x^(4) + 5x^(3) - 14x^(2) + 2x + 2 and B = 3x^(2) - 2x - 1`, then the remainder when `A + B` is

If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^(2) + 4x +1 , the remainder is ax + b . Find a and b.

When (x^(4)-3x^(3)+2x^(2)-5x+7) is divided by (x-2) , then the remainder is :

If A, B, C are the remainders of x^(3) - 3x^(2) - x + 5, 3x^(4) - x^(3) + 2x^(2) - 2x - 4, 2x^(5) - 3x^(4) + 5x^(3) - 7x^(2) + 3x - 4 when divided by x + 1, x + 2, x - 2 respectively then the ascending order of A, B ,C is

If (5x^(2)+14x +2)^(2)-(4x^(2) -5x +7)^(2) is divided by x^(2)+x+1 , then what is the remainder?

When (x^4-3x^3+2x^2-5x+7) is divided by (x-1) then the remainder is

If the polynomial x^(4)-2x^(3)+3x^(2)-ax+b be divided by (x -1) and (x + 1), the respective remainders are 5 and 19. Determine the remainder when the polynomial is divided by (x + 2).

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

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

When x^(5)-5x^(4)+9x^(3)-6x^(2)-16x+13 is divided by x^(2)-3x+a , then quotient and remainders are x^(3)-2x^(2)+x+1 and -15x+11 respectively . Find the value of a .