Answer:
(x+5) (x+9)
Step-by-step explanation:
In order to the trinomial
x
2
+
14
x
+
45
Begin by finding the factors for the first term
x
2
=
x
⋅
x
Place those factors as the first term in each parenthesis
(
x
_
)
(
x
_
)
Since both signs of the trinomial are positive you will be adding the factors and both signs will be positive.
(
x
+
_
)
(
x
+
_
)
Now determine the factors of the third term
45
=
1
⋅
45
,
3
⋅
15
,
5
⋅
9
We need the factors that will add up to the middle term
14
=
5
+
9
Place these factors as the second term in each of the parenthesis.
(
x
+
5
)
(
x
+
9
)
