factorise:
x⁴+ x³ + 8x + 8
Answers
Answered by
0
Step-by-step explanation:
In this way:
x
4
−
8
x
=
x
(
x
3
−
8
)
=
x
(
x
−
2
)
(
x
2
+
2
x
+
4
)
.
The last passage is because
(
x
3
−
8
)
is a difference of two cubes, that can be factored with this rule:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
.
The last quadratic polynomial can't be further factored.
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