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roots, so it must be the constant zero polynomial, i.e.
p
(
z
) = 0
for all
z
. Thus
(
z

ω
0
)
· · ·
(
z

ω
n

1
)=
z
n

1
,
for all
z
.
(b) This follows immediately be equating the degree
n

1 coe
f
cients
in the equation in part (a).
(c) This follows immediately by equating the constant, i.e. degree
zero, coe
f
cients in the equation of part (a).
3
I.3
2. Recalling that the projection from the sphere to the plane is given by
π
:(
X, Y, Z
)
±→
X
1

Z
+
i
Y
1

Z
.
If
P
=(
X, Y, Z
), then the projection of

P
=(

X,

Y,

Z
) is

X
1+
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This note was uploaded on 07/27/2010 for the course MATH Math2009 taught by Professor Koskesh during the Spring '09 term at SUNY Empire State.
 Spring '09
 Koskesh
 Math

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