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

(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 Ã·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) ____________________

https://brainmass.com/math/basic-algebra/quadratic-equations-synthetic-division-maximum-and-minimum-cvlaues-and-multiplicities-of-roots-81254

#### Solution Summary

Quadratic Equations, Synthetic Division, Maximum and Minimum CVlaues and Multiplicities of Roots are investigated. The solution is detailed and well presented.