Find all rational, irrational, and complex zeros. $P ( x ) = x ^ { 4 } - 81$
A) $\{ - 3,3 , - 3 i , 3 i \}$
B) $\{ - 3,3 \}$
C) $\{ 3 \}$
D) $( - 3 i , 3 i \}$
E) $\{ - 9,9 , - 3 i , 3 i \}$

Question

Quizplus · Accepted Answer

$P(x) = x^4 - 81$ can be factored as $(x^2 - 9)(x^2 + 9)$, giving real zeros at $x = \pm3$ and complex zeros at $x = \pm3i$.

Find All Rational, Irrational, and Complex Zeros P(x)=x4−81P ( x ) = x ^ { 4 } - 81P(x)=x4−81

Find All Rational, Irrational, and Complex Zeros $P ( x ) = x ^ { 4 } - 81$