find the HCF of x cube + 4x square + x - 6 and x cube - 1 . hence find for what value of 'x' both polynomial vanish
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Answers
Answered by
6
Answer:
Sorry but I don't know
Step-by-step explanation:
Sorry but IDK
Answered by
0
Answer:.
It is usually really, really hard to factorize a cubic function. However, for this polynomial, we can factor by grouping. We try values for splitting the term
−
4
x
2
.
For example, we split it into
−
2
x
2
−
2
x
2
.
The equation becomes this:
(
x
3
−
2
x
2
)
−
(
2
x
2
−
x
−
6
)
. We can factorize each of the expressions in the parentheses:
x
2
(
x
−
2
)
−
(
x
−
2
)
(
2
x
+
3
)
. There is a common factor
(
x
−
2
)
.
Factoring the common factor out, we get
(
x
−
2
)
(
x
2
−
2
x
−
3
)
. We then factorize
x
2
−
2
x
−
3
to
(
x
−
3
)
(
x
+
1
)
.
The fully factored form is then
(
x
−
2
)
(
x
−
3
)
(
x
+
1
)
.
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