Factor. Assume that variables used as exponents represent positive integers.
-$$x ^ { 2 n } + 11 x ^ { n } + 18$$
A) $\left( x ^ { n } - 9 \right) \left( x ^ { n } + 1 \right)$
B) $\left( x ^ { n } + 9 \right) \left( x ^ { n } + 2 \right)$
C) $\left( x ^ { n } - 9 \right) \left( x ^ { n } + 2 \right)$
D) prime polynomial

Question

Quizplus · Accepted Answer

The correct factorization is found by looking for two numbers that multiply to 18 and add to 11, which are 9 and 2. Thus, the expression factors as $(x^n + 9)(x^n + 2)$.

Factor Assume That Variables Used as Exponents Represent Positive Integers x2n+11xn+18x ^ { 2 n } + 11 x ^ { n } + 18x2n+11xn+18

Factor Assume That Variables Used as Exponents Represent Positive Integers $x ^ { 2 n } + 11 x ^ { n } + 18$