One of the factors of `(x^3 - 1) - (x - 1)` is : (a) `x+ 6` (b) `x^2-1` (c) `x-1` (d) `x+4`

One factor of x^(4) +x^(2) +1 is

The value of k for which x -1 is a factor of 4X^3 + 3x^2 - 4x + k is (A) A 3 (B) 1 (C) -2 (D) -3

If (x^(2)-1)/(x)=4, then (x^(6)-1)/(x^(3)) is (a) 63 (b) 66 (c) 75 (d) 76

The factor of x^8 + x^4 +1 are (A) (x^4 + 1 - x^2), (x^2 +1 +x), (x^2 + 1 - x ) (B) x^4 + 1 -x^2 , (x^2 - 1 + x), (x^2 +1 + x) (C ) (x^4 - 1 + x^2, (x^2 - 1 + x), (x^2 + 1 + x) (D) (x^4 -1 + x^2), (x^2 + 1 - x), (x^2 + 1 +x)

If the arithmetic mean of x ,\ x+3,\ x+6,\ x+9, and x+12 is 10, the x= (a) 1 (b) 2 (c) 6 (d) 4

The factors of x^(3)-7x+6 are (a) x(x-6)(x-1)( b) (x^(2)-6)(x-1)(c)(x+1)(x+2)(x-3)(d)(x-1)(x+3)(x-2)

The value of (1-x^4)/(1+x)+(1+x^2)/xxx1/(x(1-x)) is (a) 1 (b) 1-x^2 (c) 1/x (d) 1+x (e) None of these

What are the components of (X^(6 ) - X^(4) - X^(5) - X^(4) + X^(2) - 4) A. (X - 1) B. (X + 1) C. Both (X - 1) & (X + 1) D. Neither (x - 1) or (X + 1)

If x+2 is a factor of x^2+a x+2b and a+b=4 , then (a) a=1, b=3 (b) a=3, b=1 (c) a=-1, b=5 (d) a=5, b=-1