" Q27.Factorize : "x^(3)-2x^(2)-x+2

Factorize: 2x^3-3x^2-17x+30

Factorize: (x+2)^(3)+(x-2)^(3)

Factorize: 125x^(3)-27y^(3)-225x^(2)y+135xy^(2)

Factorize: 4x^(3)+20x^(2)+33x+18 given that 2x+3 is a factor

Factorize: (x+2)^3+(x-2)^3

Q-2 If (x+3) is one of the factors of x^(3)+2x^(2)-ax-18 .Then a= ..........

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.