Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$f ( x ) = x ^ { 4 } - 16$
A) $x = - 4 , x = 4$
B) $x = - \sqrt { 2 } , x = \sqrt { 2 }$
C) $x = - 2 , x = 2$
D) no real solution

Question

Quizplus · Accepted Answer

The function $f(x) = x^4 - 16$ can be factored as $(x^2 - 4)(x^2 + 4)$. The factor $x^2 - 4$ gives real solutions $x = -2$ and $x = 2$, while $x^2 + 4$ has no real solutions.

Find the Real Zeros of the Function f(x)=x4−16f ( x ) = x ^ { 4 } - 16f(x)=x4−16

Find the Real Zeros of the Function $f ( x ) = x ^ { 4 } - 16$