Найдите значение выражения \( \sqrt{\frac{36 a^{21}}{a^{15}}} \) при \( a=2 \)

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 \( D: x \neq-2 \). \( P(2 ; 5) \). \[ [a=8, b=2 \mid \]

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

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.)

г) \( \log _{2}(x-2)^{2}+\log _{\sqrt{2}} x=6 \)