Use synthetic division to decide whether the given number \( k \) is a zero of the polynomial fur \( f(x)=3 x^{3}-14 x^{2}-9 x+60 ; k=4 \) Is 4 a zero of the function? Select the correct choice below and, if necessary, fill in the ans A. The given \( k \) is not a zero of the polynomial function. \( f(4)=\square \). The given \( k \) is a zero of the polynomial function.

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

The ratio of Ben's age to Ali's age is \( 3=2 \). Their total age is 140 years now What is Alils age?

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

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

Find the points of intersection for the system \[ \begin{array}{l}\mathrm{y} \geq 2 \mathrm{x}^{2}+3 \mathrm{x}-20 \\ \mathrm{y} \leq \mathrm{x}^{2}+\mathrm{x}-5\end{array} \]