Graph \( f(x)=3 x^{2}+24 x+49 \)

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.)

Factor \( P(x) \) into linear factors given that \( k \) is a zero of \( P \). \( P(x)=x^{3}-2 x^{2}-7 x-4 ; k=-1 \) \( x^{3}-2 x^{2}-7 x-4=\square \) (Type your answer in factored form.)

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. \( \frac{6 x^{4}-2 x^{2}+6}{x^{2}+2} \) \( \frac{6 x^{4}-2 x^{2}+6}{x^{2}+2}=\square \) (Simplify your answer.)

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