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Answer:
Step-by-step explanation:First, group and combine like terms:
x
3
+
2
x
2
+
7
x
2
+
14
x
→
x
3
=
(
2
+
7
)
x
2
+
14
x
x
3
+
9
x
2
+
14
x
Next, factor out an
x
from each term in the expression:
(
x
⋅
x
2
)
+
(
x
⋅
9
x
)
+
(
x
⋅
14
)
→
x
(
x
2
+
9
x
+
14
)
Because
7
+
2
=
9
and
7
⋅
2
=
14
we can factor the quadratic term as:
x
(
x
+
7
)
(
x
+
2
)