Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 4 } - 1,296$$
A) $x = - \sqrt { 6 } , x = \sqrt { 6 }$
B) $x = - 36 , x = 36$
C) $x = - 6 , x = 6$
D) no real solution

Question

Quizplus · Accepted Answer

The function $f(x) = x^4 - 1296$ can be factored as $(x^2 - 36)(x^2 + 36)$. The real zeros are found by setting $x^2 - 36 = 0$, which gives $x^2 = 36$, and thus $x = \pm 6$. The term $x^2 + 36$ does not contribute any real zeros because it cannot be zero for any real value of $x$.

Find the Real Zeros of the Function f(x)=x4−1,296f ( x ) = x ^ { 4 } - 1,296f(x)=x4−1,296

Find the Real Zeros of the Function $f ( x ) = x ^ { 4 } - 1,296$