a) \( \left(b^{-2}-a^{-2}\right) \cdot\left(\frac{a+b}{a b}\right)^{-1} \)

The polynomial of degree \( 4, P(x) \), has a root of multiplicity 2 at \( x=3 \) and roots of multiplicity 1 at \( x=0 \) and \( x=-1 \). It goes through the point \( (5,12) \). Find a formula for \( P(x) \). \( P(x)=\square \)

The function \( f(x)=2 x^{2}-5 x+2 k-1 \) does not intersect the \( x- \) axis. Find the range of values of \( k \)

Solve the system of quadratic inequalities: \[ y>x^{2}-1 \]

Solve the system of quadratic inequalities: \[ \begin{array}{c}\mathrm{y}>\mathrm{x}^{2}-1 \\ \mathrm{y} \leq-\frac{1}{3} \mathrm{x}^{2}+5\end{array} \]

Which graph represents the solution to the system of quadratic inequalities? \( y \geq \mathrm{x}^{2}+3 \mathrm{x}-7 \) \( \mathrm{y} \leq-\mathrm{x}^{2}+5 \mathrm{x}+2 \)