I find the value of 'k' if the polynomial p(x) = Kx^3+9x^2+4x-10
is divided
by (3) Leaves a remainder-22.
Answers
Answered by
0
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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