Use synthetic division to find the quotient and remainder for \( \frac{-x^{3}+26 x-5}{x-5} \) The quotient is: The remainder is:

3. If \( A=\left[\begin{array}{lll}1 & 4 & 1 \\ 2 & 1 & 7\end{array}\right] \) and \( B=\left[\begin{array}{cc}2 & 3 \\ 5 & -1 \\ -3 & 4\end{array}\right] \) then \( (A B)^{\top} \) is equal to \( \begin{array}{ll}\text { a. }\left[\begin{array}{cc}-33 & -12 \\ -10 & 7\end{array}\right] \\ \text { b. }\left[\begin{array}{cc}19 & 3 \\ -12 & 33\end{array}\right] & \text { c. }\left[\begin{array}{cc}19 & -12 \\ 3 & 33\end{array}\right]\end{array} \)

0. A small business has a revenue function \( R(x)=50 x \) and a cost function \( C(x)=20 x+ \) 500 , where \( x \) is the number of units produced and sold. What is the profit function \( P(x) \) ? \( \begin{array}{ll}\text { a. } P(x)=30 x & \text { c. } P(x)=30 x+500 \\ \text { b. } P(x)=70 x+500 & \text { d. } P(x)=30 x-500\end{array} \)

6. Kitob va daftar birgalikda 5800 so'm turadi, Kitob narxining \( 10 \% \) i daffar narxining \( 35 \% \) idan 220 so'm qimmat. Kitob va daftar alohi- da-alohida necha so'm turadi?

12. If \( \left[\begin{array}{ll}x+y & 2 x+z \\ x-y & 2 z+w\end{array}\right]=\left[\begin{array}{cc}4 & 7 \\ 0 & 10\end{array}\right] \), then the values of \( x, y, z \) and \( w \) respectively are \( \begin{array}{ll}\text { a. } x=2, y=2, z=3, w=4 & \text { c. } x=3, y=3, z=0, w=1 \\ \text { b. } x=2, y=3, z=1, w=2 & \text { d. } x=-1, y=3, z=-3, w=4\end{array} \)

14. Find the inverse of the matrix \( A=\left[\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right] \). \( \begin{array}{ll}\text { a. }\left[\begin{array}{cc}-3 & -5 \\ -1 & 2\end{array}\right] \\ \text { b. }\left[\begin{array}{cc}3 & 5 \\ -1 & 2\end{array}\right] & \text { c. }\left[\begin{array}{cc}2 & -1 \\ -5 & 3\end{array}\right]\end{array} \)