\( f(x)=2 x^{3}+b x^{2}-42 x+90 \quad \) If 3 is a zero then find \( b \)

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?

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 \( P(x) \). \( P(x)=\square \)

Solve the system of quadratic inequalities: \[ \begin{array}{l}y<x^{2}-4 \\ y>-x^{2}+2\end{array} \]

MP) Use Structure A plumber charges a customer a one-time service fee of \( \$ 79, \$ 62 \) per hour for labor, and a surcharge of \( \$ 15 \) per hour due to the call being an emergency. Write an expression to represent the total charges for the plumber in two different ways.