Fundamental Theorem of Algebra for Quadratics
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
For
x
2
+
p
x
+
q
=
0
x^2+px+q=0
x
2
+
p
x
+
q
=
0
, what are the sum and product of the roots?
QUESTION
What are the two complex roots of
x
2
+
1
=
0
x^2+1=0
x
2
+
1
=
0
?
QUESTION
Given roots
r
1
=
5
r_1=5
r
1
=
5
and
r
2
=
−
1
r_2=-1
r
2
=
−
1
, what is the monic quadratic polynomial?
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ANSWER
x
2
−
4
x
−
5
x^2-4x-5
x
2
−
4
x
−
5
. Using sum=
4
4
4
and product=
−
5
-5
−
5
in
x
2
−
(
s
u
m
)
x
+
(
p
r
o
d
u
c
t
)
x^2-(sum)x+(product)
x
2
−
(
s
u
m
)
x
+
(
p
r
o
d
u
c
t
)
.
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