x^(3)-3x^(2)-9x-5

f(x)=9x^(3)-3x^(2)+x-5,g(x)=x-(2)/(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.

Degree of the polynomial 2x^(4)+3x^(3)-5x^(2)+9x+1 is

Simplify: 9x^(4)(2x^(3)-5x^(4))x5x^(6)(x^(4)-3x^(2))

Evaluate: lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16) .

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)