The polynomial

\[n^2 x^{2n+3} - 25n x^{n+1} + 150x^7\]

has \(x^2 - 1\) as a factor

for no values of \(n\),

for \(n=10\) only,

for \(n=15\) only,

for \(n=10\) and \(n=15\) only.

The polynomial

\[n^2 x^{2n+3} - 25n x^{n+1} + 150x^7\]

has \(x^2 - 1\) as a factor

for no values of \(n\),

for \(n=10\) only,

for \(n=15\) only,

for \(n=10\) and \(n=15\) only.