(x+1) is a factor of xn+1 only if

Q10 of 96 Page 6

(x+1) is a factor of xⁿ+1 only if

Let f (x) = xⁿ +1

Since, x+ 1 is a factor of f (x), so

f (-1) = 9

Thus, n is an odd integer.

One factor of x⁴+x²-20 is x²+5. The other factor is

If (x-1) is a factor of polynomial f(x) but not of g(x), then it must be a factor of

If x+2 is a factor of x²+mx+14, then m =

If x -3 is a factor of x²-ax-15, then a =