Can anyone answer this question
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Answer:
Step-by-step explanation:
- f
- (
- x
- )
- =
- (
- x
- +
- 1
- )
- (
- x
- +
- 2
- )
- (
- x
- −
- 4
- )
Explanation:
f(x) = x^3 - x^2 - 10x - 8.
We find out that
f(-1) = -1 -1 + 10 - 8 = 0,
then, one factor is (x + 1).
After division -->
f
(
x
)
=
(
x
+
1
)
(
x
2
−
2
x
−
8
)
The trinomial in parentheses can be factored.
Find 2 numbers knowing sum (-2) and product (-8).
They are (2) and (-4)
(
x
2
−
2
x
−
8
)
=
(
x
+
2
)
(
x
−
4
)
f
(
x
)
=
(
x
+
1
)
(
x
+
2
)
(
x
−
4
)
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