" 6.(a) "x^(2)-3x-28

Factorize: 6x^(2)-13x+6 (ii) -2x^(2)-3x+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.

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

(x^(2) -3x - 28) -: (x+4) = ………..

Solve the equation (x^(2)-3x)^(2)+3x^(2)-9x-28=0 for real roots.

Check whether (x^(2)-11x+28) is a factor of the polynomial x^(3)-12x^(2)+39x-28 .

If f : R to R is defined by f (x) = x ^(2) - 6x - 14, then f ^(-1) (2) equals to : a) {2,8} b) {-2,8} c) {-2,-8} d) {2,-8}

Find the square root of the following (4x^(2)-9x+2)(7x^(2)-13x-2)(28x^(2)-3x-1)