Use the Factor Theorem to determine whether x - c is a factor of f(x).
-$$f ( x ) = x ^ { 4 } - 32 x ^ { 2 } - 144 ; x - 6$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

To determine if $x - 6$ is a factor of $f(x) = x^4 - 32x^2 - 144$, we use the Factor Theorem by evaluating $f(6)$. If $f(6) = 0$, then $x - 6$ is a factor. Substituting $x = 6$ into $f(x)$, we get $f(6) = 6^4 - 32(6)^2 - 144 = 1296 - 1152 - 144 = 0$. Since $f(6) = 0$, $x - 6$ is indeed a factor of $f(x)$.

Use the Factor Theorem to Determine Whether X - C f(x)=x4−32x2−144;x−6f ( x ) = x ^ { 4 } - 32 x ^ { 2 } - 144 ; x - 6f(x)=x4−32x2−144;x−6

Use the Factor Theorem to Determine Whether X - C $f ( x ) = x ^ { 4 } - 32 x ^ { 2 } - 144 ; x - 6$