Simplify \( \frac{16 x^{4}}{4 x^{4}} \). A 4 B 12 C \( 4 x \) D \( 12 x \)

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.)

Determina per quare valore di a la funzlone \( y=\frac{x}{a-x} \) ha dominio \( D: x \neq-2 \). \( P(2 ; 5) \). \[ [a=8, b=2 \mid \]

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.)