6. Which of the following has the greatest value? \( \begin{array}{ll}\text { A. }\left(3^{2}\right)^{3}=3^{6} & \text { C. }\left(3^{-2}\right)^{3}=3^{-6} \\ \text { B. } 3^{2} \times 3^{3}=3^{5} & \text { D. } \frac{3^{3}}{3^{2}}=3^{1}\end{array} \)

В) \( \log _{5}^{2}(2 x)-20 \log _{5}(2 x)=21 \).

Factor \( f(x)=2 x^{3}+9 x^{2}-51 x+40 \) into linear factors given that -8 is a zero of \( f(x) \). \( f(x)=2 x^{3}+9 x^{2}-51 x+40=\square \) \( ( \) Factor completely.)

Divide the expression. \( \frac{3 x^{4}-7 x^{3}+6 x-18}{3 x-7} \) \( \frac{3 x^{4}-7 x^{3}+6 x-18}{3 x}=\square \) (Simplify your answer.)

Divide the expression. \[ \begin{array}{l}\frac{3 x^{4}-7 x^{3}+6 x-18}{3 x-7} \\ \frac{3 x^{4}-7 x^{3}+6 x-18}{3 x-7}=\square(\text { Simplify your answer. })\end{array} \]

4.2 Homework \[ \begin{array}{l}\text { Factor } f(x) \text { into linear factors given that } k \text { is a zero of } f(x) \text {. } \\ f(x)=3 x^{3}+13 x^{2}-118 x+72 ; k=4 \\ f(x)=\square \text { (Factor completely.) }\end{array} \]