Use the rational function to find the indicated function values. If a function value does not exist, state so. \( f(x)=\frac{x^{2}-4 x-32}{x-4} ; f(2), f(4), f(8) \)

Faktoriseer in Afrikaans \( 4(m-2 n)^{2}-25 \)

Use the Factor Theorem to determine whether \( x-2 \) is a factor of \( P(x)=x^{3}-3 x^{2}-4 x+ \) Specifically, evaluate \( P \) at the proper value, and then determine whether \( x-2 \) is a factor. \( \begin{array}{l}P(\square)=\square \\ x-2 \text { is a factor of } P(x) \\ x-2 \text { is not a factor of } P(x)\end{array} \)

\( 3z^{3}<9x \)

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) \( \sqrt{y^{16}}=\square \) (b) \( \sqrt{x^{18}}=\square \)

Multiply. \[ \begin{array}{l}(\sqrt{2}+7 \sqrt{5})(6 \sqrt{5}+\sqrt{2}) \\ \text { Simplify your answer as much as possible. }\end{array} \] II .