when x^3 - kx^2+ x+1 is divided by x-1 the remainder is 6.
The value of k is?
Answers
Answered by
2
Answer:
The answer is
k
=
2
Explanation:
Let
f
(
x
)
=
x
3
+
k
x
2
+
x
+
5
When
f
(
x
)
is divided by
(
x
+
2
)
, the remainder is
=
3
This is the remainder theorem
so,
f
(
−
2
)
=
−
8
+
4
k
−
2
+
5
=
3
4
k
=
3
+
5
=
8
k
=
2
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