Extending Polynomial Identities to Complex Numbers
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
What is
i
27
i^{27}
i
27
?
QUESTION
Rewrite
x
2
+
5
x^2+5
x
2
+
5
as a product of two complex conjugate binomials.
QUESTION
Rewrite
x
2
+
36
x^2+36
x
2
+
36
as a product of two complex conjugate binomials.
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ANSWER
(
x
+
6
i
)
(
x
−
6
i
)
(x+6i)(x-6i)
(
x
+
6
i
)
(
x
−
6
i
)
.
x
2
+
36
=
x
2
+
(
6
i
)
2
x^2 + 36 = x^2 + (6i)^2
x
2
+
36
=
x
2
+
(
6
i
)
2
factors as conjugate pair.
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