23. A rocket carrying fireworks is launched from a hill above a lake. The rocket will fall into lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h(t) = -16t2 + 64t + 80, where h is in feet and t is in seconds. (a) How long will it take for the rocket to hit 128 feet? (b) After how many seconds after it is launched will the rocket hit the lake?

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.