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Madhya Pradesh Police Exam Model Paper 6
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© examsnet.com
Question : 71
Total: 101
If (x - 1) is a factor of polynomial
x
4
−
5
x
3
+
k
x
2
−
4
x
+
5
then find k -
2
3
4
5
Validate
Solution:
Concept Used :
If (x - a) is a factor of f(x) then f(a) = 0
Solution:
∵ (x - 1) is a factor of
x
4
−
5
x
3
+
k
x
2
−
4
x
+
5
∴
x
−
1
=
0
∴
x
=
1
satisfy the given polynomial. So put x = 1 in given polynomial -
(
1
)
4
−
5
(
1
)
3
+
k
(
1
)
2
−
4
(
1
)
+
5
=
0
∴
1
−
5
+
k
−
4
+
5
=
0
∴
k
=
3
© examsnet.com
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