2. Considerar los polinomios \( P(x)=x^{3}-12 x^{2}+6 x+a \quad \) y \( \quad Q(x)=x^{2}+2 x \) a) Hallar el valor de \( a \) sabiendo que \( x=2 \) es raíz del polinomio \( R(x) \) donde \( R(x)=P(x)+5 Q(x) \) ? b) Considerar \( a=-12 \), hallar el dominio y el conjunto solución de la siguiente ecuación: \[ \frac{R(x)}{x-2}+4=4 \]

Add \( 5 \mathrm{a}-3 \mathrm{~b} \) and \( -5 \mathrm{~b}+3 \mathrm{a} \) the result is ...... \[ \begin{array}{l}8 \mathrm{a}-8 \mathrm{~b} \\ 8 \mathrm{a}+8 \mathrm{~b} \\ 8 \mathrm{~b}-8 \mathrm{a} \\ 2 \mathrm{a}-2 \mathrm{~b}\end{array} \]

3. Question 3. Solve \( x-5=3 x+2 \)

a \( \quad 2^{3} \cdot 2^{-4} \)

question 4. Solve \( 3 x+2=2+4 x \)

\( \equiv \) (i) Listen A bowl contains blueberries and strawberries. There are a total of 12 berries in the bowl. The ratio of blueberries to strawberries is 1 to 2 . How many of each berry are in the bowl? \( \square \) blueberries strawberries