Divide `2x^5 -3x^4 +5x^3 -7x^2 +3x -4 `by` x-2.`

Find quotient and the remainder when 2x^5 -3x^4 +5x^3 -3x^2 +7x-9 is divided by x^2 -x-3

Factorise : 3x^5 - 6x^4 - 2x^3 + 4x^2 + x-2

Divide x^(4)+5x^(3)-x^(2)+4x-3 by x-2 and verify the division algorithm.

Divide (x^(3)-3x^(2)+5x-3) by (x^(2)-2)

Subtract : 5x - 3x^(2) + 8xy from 7x^(2) + 3xy - 4x .

Multiply : 2x^(2) - 4x + 5 by x^(2) + 3x - 7

Divide: the polynomial 2x^4+8x^3+7x^2+4x+3\ \ by \ \ x+3.

Let P(x) = x^(7) - 3x^(5) +x^(3) - 7x^(2) +5 and q(x) = x- 2 . The remainder if p(x) is divided by q(x) is

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)