Factor the trinomial completely.
n^2−14n+24 =
To factor the trinomial completely, we need to find two binomials such that their product equals the trinomial.
We need to find two numbers whose product is 24 (the constant term) and whose sum is -14 (the coefficient of the middle term).
The numbers -2 and -12 satisfy these conditions since -2 * -12 = 24 and -2 + (-12) = -14.
Therefore, we can factor the trinomial as:
n^2 - 14n + 24 = (n - 2)(n - 12)