Show that `(x-1)` is a factor of `x^(10)-1` and also of `x^(11)-1.`

Show that p-1 is a factor of p^(10)-1 and also of p^(11)-1.

Show that x/((1+x)) 0

Show that x+1 and 2x-3 are factors of 2x^3-9x^2+x+12

x+1 is a factor of the polynomial

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

If x+1 is a factor of x^3+a , then write the value of a

Show that (x-2),(x+3) and (x-4) are factors of x^3-3x^2-10x+24 .

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

One of the factors of (25 x^(2)-1) +(1+5x)^(2) is