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Using Synthetic Division to Solve Equations

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1) Use the synthetic division to find: f(-2)

f(x)= 2x^2 - 3x^2 + 7x - 12

2) For the function f(x) = -x^3 + 8x^2 - 40

Show how to use synthetic division to find out if -1 is a zero.

3) One of the zeros of the function f(x) = x^3 - 7x^2 + 17x - 15 is 2-i. Find all the other zeros

4) Use the intermediate value theorem to show that f(x0 = 3x^2-x-4 has a real zero between 1 and 2.

5) For the function f(x):= (2x+1)/(x^2-4)

a) give the equation of any vertical, horizontal, or oblique asymptotes.
b) find the x-intercept(s)
c) find the y-intercepts
d) carefully sketch the graph

26) carefully sketch the graph of f(x)= (4x^2-1)/(x+1)

27) Suppose p varies directly as z and inversely as m^2 and r^2.
If p = 5/3 when z=1, m=2, and r=3, find p when z =3 and r=8

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