Find the value of K if x+k is a factor of the polynomial x^3-(k^2 -1)x+3
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Step-by-step explanation:Solution
Consider the given polynomial.
x
4
−
k
2
x
2
+
3
x
−
6
k
Since,
x
+
k
is the factor of given polynomial
So, put
x
=
−
k
Therefore,
(
−
k
)
4
−
k
2
(
−
k
)
2
+
3
(
−
k
)
−
6
k
=
0
k
4
−
k
4
−
3
k
−
6
k
=
0
−
9
k
=
0
k
=
0
Hence, the value of
k
is
0
.
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