Find one factor of the polynomial \( p(x)=-4 x^{3}-32 x^{2}-64 x \) by first finding a zero of the polynomial. Upload your work. Your work must support your answer and you must use the Rational Zeros Theorem and either synthetic or long division as per the Factor, Theorem, not just guessing and plugging in values. Zero for this polynomial: Factor of the polynomial based on the above zero:

1.Решить уравнение: \( \begin{array}{lll}\text { a) } \sqrt{x+3}=\sqrt{5-x} & \text { б) } \quad \sqrt{12+3 x}=2 & \text { в) } \quad x=1+\sqrt{x+11}\end{array} \)

ivaret som et produkt av to pot \[ \text { b } \frac{3^{12} \cdot 12^{2}}{6^{3}} \]

Given that \( g(x)=\sqrt{\frac{2 x+3}{5 x+6}} \), find \( g^{-1}(x) \) \( g^{-1}(x)=x^{2}-3 x \)

Jika \( \left(\begin{array}{cc}-2 & 2 \\ 5 & y\end{array}\right)\left(\begin{array}{ll}5 & 3 \\ x & 4\end{array}\right)=\left(\begin{array}{cc}-6 & 2 \\ 27 & 19\end{array}\right) \), cari nilai \( x \) dan \( y \). If \( \left(\begin{array}{cc}-2 & 2 \\ 5 & y\end{array}\right)\left(\begin{array}{ll}5 & 3 \\ x & 4\end{array}\right)=\left(\begin{array}{cc}-6 & 2 \\ 27 & 19\end{array}\right) \), find the value of \( x \) and \( y \).

Simplify the following expressions fully: \( 1.2 .1 \quad(x+2)\left(x^{2}-x+3\right) \)