#### Answer

$(x^n-4)(x^n-3)$

#### Work Step by Step

The given expression can be written as:
$\\(x^n)^2-7x^n+12$
The constant term of 12 has the factors $-4$ and $-3$, the sum of which, -7, is equal to the coefficient of the middle term.
Thus, the factored form of the given trinomial is:
$\\=(x^n-4)(x^n-3)$