x^(2)+(1)/(x^(2))-2-3x+(3)/(x):" Factorize "

Factorize (x^(2)+(1)/(x^(2))-2-3x+(3)/(x))

Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2 , is a factor of x^(2)+3x+2 (iii) x-3, is a factor of 2x^(3)+7x^(2)-24x-45 " " (iv) 3x-2 , is a factor of 3x^(3)+x^(2)-20x+12 (v) x-1, is a factor of x^(3)-10x^(2)+23x-14 " " (vi) x-2 , is a factor of x^(3)-3x^(2)-x+6

Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2 , is a factor of x^(2)+3x+2 (iii) x-3, is a factor of 2x^(3)+7x^(2)-24x-45 " " (iv) 3x-2 , is a factor of 3x^(3)+x^(2)-20x+12 (v) x-1, is a factor of x^(3)-10x^(2)+23x-14 " " (vi) x-2 , is a factor of x^(3)-3x^(2)-x+6

factorize : x^2+(1)/(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.

Show that (x-2) is a factor of the polynomial f(x)=2x^(3)-3x^(2)-17x+30 and hence factorize f(x)

Show that (i) x+3 is factor of 69+11x-x^(2)+x^(3) (ii) 2x-3 is factor of x+2x^(3)-9x^(2)+12

Show that (i) x+3 is factor of 69+11x-x^(2)+x^(3) (ii) 2x-3 is factor of x+2x^(3)-9x^(2)+12