factorise
(i) `2x^(3)-3x^(2)-17x+30` (ii) `x^(3) -6x^(2)+11x-6`
(iii) `x^(3)+x^(2)-4x-4` (iv) `3x^(2)-x^(2)-3x+1`

Factorise: (i) x^(3)-2x^(2)-x+2 (ii) x^(3)-3x^(2)-9x-5 (iii) x^(3)+13x^(2)+32x+20 (iv)

Factorise each of the following polynomials using synthetic division: (i) x^(3) -3x^(2) -10x +24 (ii) 2x^(3) -3x^(2) -3x +2 (iii) -7x +3+4x^(3) (iv) x^(3) +x^(2) -14x -24 (v) x^(2) - 7x+ 6 ( vi ) x^(3) -10x ^(2) -x+ 10

Divide: x^(3)-6x^(2)+11x-6 by x^(2)-4x+3

Factorise x^(3)+6x^(2)+11x+6 .

Find the quotient and remainder of the following using synthetic division: (i) (x^(3) +x^(2) -7x-3) +(x-3) (ii) (x^(3) +2x^(2) -x-4) +(x+2) (iii) (3x^(3) -2x^(2) +7x -5) +(x+3) (iv) (8x^(4) -2x^(2) +6x +5) +(4x+1)

f(x)=x^(3)-6x^(2)+11x-6,g(x)=x^(2)-3x+2

Factorise : 6 + 11x + 3x^(2)