8x³ + 4x² - 4x-1=0. solve
Answers
Answered by
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Explanation:
"Group" the polynomial into two parts:
8
x
3
+
4
x
2
−
2
x
−
1
Factor out a common term from either section.
4
x
2
(
2
x
+
1
)
−
1
(
2
x
+
1
)
Notice that a
2
x
+
1
term can be factored out.
(
2
x
+
1
)
(
4
x
2
−
1
)
Notice that
4
x
2
−
1
is a difference of squares.
(
2
x
+
1
)
(
2
x
+
1
)
(
2
x
−
1
)
(
2
x
+
1
)
2
(
2
x
−
1
)
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