\fThe polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x = 4 and x = 0, and a root of multiplicity 1 at x = - 3. Find a possible formula for P(a). P(ac) =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 = - 2. It goes through the point (5, 84). Find a formula for P(ac). P(x =The polynomial of degree 3, P(z), has a root of multiplicity 2 at z = 2 and a root of multiplicity 1 at z = 4. The y-interceptisy = 9.6. Find a formula for P(z). P(z) = Write an expression in factored form for the polynomial of least possible degree graphed below. \f\f\fWrite an equation for the quadratic graphed below: x-intercepts: (-2,0) and (1,0); y-intercept: (0,2) 2 Q y=NASA launches a rocket at = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = 4.9t + 361t + 262. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after S seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at :] meters above sea-level. The height y (in feet) of a ball thrown by a child is B Y= 2% + 4z 43 where z is the horizontal distance in feet from the point at which the ball is thrown. (@) How high is the ball when it leaves the child's hand? :] feet (b) What is the maximum height of the ball? :] feet (c) How far from the child does the ball strike the ground? Round your answers to the nearest