Use synthetic division to find \( \left(x^{3}-4 x^{2}+3\right) \div(x-1) \). Write your answer in the form \( \mathrm{q}(\mathrm{x})+\frac{\mathrm{r}}{\mathrm{d}(\mathrm{x})^{\prime}} \), where \( \mathrm{q}(\mathrm{x}) \) is a polynomial, r is an integer, an \( \mathrm{d}(\mathrm{x}) \) is a linear polynomial. Simplify any fractions.

23. \( x^{3}-3 x=-1 \) olarsa, \( x^{2}+\frac{1}{x^{2}} \) ifadəsinin qiymatini tapın.

3Ldentifica y realiza los siguentes productos notables de polinomios: \( \begin{array}{ll}\text { A) }(2 a b+7 c)(2 a b-7 c)=\quad & \text { b) }(5 a-2 b)^{2}=\end{array} \)

4. \( \log _{4} x^{2}-2 \log _{4} x-3=0 \)

Diketahui matriks \( M=\left[\begin{array}{ccc}3 & 0 & -2 \\ -5 & 2 & 0 \\ 0 & -3 & 4\end{array}\right] \) dan \( N=\left[\begin{array}{ccc}0 & 7 & 5 \\ 5 & -3 & 2 \\ 0 & -4 & -3\end{array}\right] \) adalah matriks berordc 3x3. Jika \( \mathrm{M}+\mathrm{N} \), maka tentukanlah hasil dari penjumlahan kedua matriks tersebut !

a. \( \quad(6 x-18)(3 x+2)=0 \)