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

6. Al resolver el sistema \( \left\{\begin{array}{l}5 x+6 y=20 \\ 4 x-3 y=-23\end{array}\right. \) \( \begin{array}{rlrl}5 x . x=2 & \text { b. } x=-2 & \text { c. } x=5 & \text { d. } x=-5 \\ y=5 & y=5 & y=-2 & y=2\end{array} \)

Expand. Your answer should be a polynomial in standard form. \( (-f+10)(3 f-1)=\square \)

138. Hallar el resto de la división \( \frac{[(x+4)(x+3)(x+2)(x+1)+3]^{4}}{x^{2}+5 x+5} \) \( \begin{array}{lllll}\text { a. } 25 & \text { b. } 34 & \text { c. } 43 & \text { d. } 27 & \text { e. } 6\end{array} \)

Expand. Your answer should be a polynomial in standard form. \( (3 b-4)(b+2)=\square \)

e. \( a+b \) es divisor de \( a^{4}+b^{4} \). ( ) f. \( a-b \) es divisor de \( a^{5}+b^{5} \). ( ) g. \( \quad \) El grado del polinomio cociente entre \( x^{5}+y^{5} y \) \( x+y \) es 4. ( ) h. La cantidad de términos del polinomio co- ciente entre \( x^{7}-y^{7} y x-y \) es 7 . ( )