" Factariso : "x^(3)-2x^(2)-x+2

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

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.

For what value of x, x^(3) - 2x^(2) - 2x - 3 and x^(2) - 2x - 3 becomes equal to zero ?

Resolve into partial fractions : (2x^(2)-3x+3)/(x^(3)-2x^(2)+x) .

The LCM of x^(3) - 2x^(2) - x + 2 and x^(3) - x^(2) - 4x + 4 is

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

lim_(x rarr 2) (sqrt(x^(3)-2x^(2)+2x-3)-1)/(x-2)= ______.

Find the sum of the following algebraic expressions : 3x^(3) - 5x^(2) + 2x + 1 , 3x - 2x^(3) - x^(3) , 2x^(2) - 7x + 9