x³+x²-10x+8 divided by x+3
Answers
Answered by
1
Answer:
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
)
Answered by
2
Answer:
== x+3=0
x=-3
p(x)= x³+x²-10x+8
= (-3)³+(-3)²-10(-3)+8
= -27+9-30+8
= -40
(x+3) is not a factor
Similar questions