Factorize `(x^(2)+3x-4)` and divide by `(x-1)`

Factorize 3x^(2)-x-4

Factorize 3x^2-11x-4

Factorize x^4-3x^2+2 .

Find the sum of remainders when x^(3)-3x^(2)+4x-4 is divided by (x-1) and (x+2).

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

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

Find the remainder when the polynomial 4x^(4)+3x^(2)-5x+1 is divided by (2x-1).