" (b) "quad " FACTORISE "x^(3)-2x^(2)-x+2" ."

Using the Factor theorem, show that (i) (x-2) is a factor of x^(3)-2x^(2)-9x+18 . Hence factorise the expression x^2-2x^2-9x+18 completely. (ii) (x+5) is a factor of 2x^3+5x^2-28x-15 . Hence factorise the expression 2x^3+5x^2-28x-15 completely. (iii) (3x+2) is a factor of 3x^(3)+2x^(2)-3x-2 . Hence factorise the expression 3x^3+2x^2-3x-2 completely.

Factorise : x^(3)-3x^(2)+4

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) 2x ^(3) + 24 x ^(2) + 72 x

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) a ^(2) x ^(3) + 23 abx ^(2) + b ^(2) x

Factorise : 2x^(3) + 7x^(2) + 2x -3

Factorise : x^(4)-3x^(2)+2

Factorise :x^(4)+3x^(2)-28