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# Quadratic Equations, Synthetic Division, Maximum and Minimum CVlaues and Multiplicities of Roots

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(19) Using the formula s(t) = ?16t2 + v0t + s0 write the equation for the height of a rock
propelled directly upward from the ground with an initial velocity of 60 feet per second.
19) ____________________
20) What is the maximum height reached by the rock in problem 19, and how many seconds does it take for the rock to reach that height?
20) ____________________
21) Use synthetic division to decide if -2 is a zero of the function:
f(x) = 2x4 -t-9x2 ?16x+12 21) _____________
22) If f(x)=?x3 +4x2 +63
a) Use the remainder theorem and synthetic division to find f(3).
b) Find f(3) by substituting x 3 into the polynomial
22)a) _______________
b)___________________
23) Find all zeros and their multiplicities for f(x)=(x+1)2(x2 _42 ÷4)
23) ____________________
24) One of the zeros of the function f(x) = ? 7x2 +17x ?15 is 2-i. Find all the other zeros.
24) ___________________
25) Find a polynomial of degree 3 with real coefficients that has zeros 2, -3 and 5, and for which f(3)6
25) ____________________