Find the zeros of the function below algebraically, if any exist.
$$f ( x ) = x ^ { 6 } - 9 x ^ { 3 } + 8$$
A) 1 and 2
B) $- 4$ and 1
C) $- 4$ and 2
D) $- 4 , - 1,1$, and 4
E) $- 4 , - 2,2$, and 4

Question

Quizplus · Accepted Answer

The function can be factored as $(x^3 - 1)(x^3 - 8) = 0$, giving zeros at $x^3 = 1$ and $x^3 = 8$, which correspond to $x = 1$ and $x = 2$.

Find the Zeros of the Function Below Algebraically, If Any f(x)=x6−9x3+8f ( x ) = x ^ { 6 } - 9 x ^ { 3 } + 8f(x)=x6−9x3+8

Find the Zeros of the Function Below Algebraically, If Any $f ( x ) = x ^ { 6 } - 9 x ^ { 3 } + 8$