" 11."x^(x^(2)-3)+(x-3)^(x^(2)),x>3-:1

In the polynomial (x-1)(x^(2)-2)(x^(3)-3)…(x^(11)-11) , the coefficient of x^(60) is :

In the polynomial function f(x)=(x-1)(x^(2)-2)(x^(3)-3)……..(x^(11)-11) the coefficient of x^(60) is :

In the polynomial function f(x)=(x-1)(x^(2)-2)(x^(3)-3)……..(x^(11)-11) the coefficient of x^(60) is :

Resolve (3x^(2)-3x-11)/((x+3)(3x+4)^(2)) into partial fractions.

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

The equation whose roots are diminished by 1 than those of 4x^(3)-x^(2)+2x-3=0 is (A) 4x^(3)-11x^(2)+12x+2=0 (B) 4x^(3)-11x^(2)+12x-3=0 (C) 4x^(3)+11x^(2)+12x+2=0 (D) 4x^(3)+11x^(2)+12x-3=0

factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii) x^(3)+x^(2)-4x-4 (iv) 3x^(2)-x^(2)-3x+1