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Byju's Answer
Standard VIII
Mathematics
Division of a Polynomial by a Polynomial
If one root o...
Question
If one root of polynomial
f
(
x
)
=
5
x
2
+
13
x
+
k
is reciprocal of the other then find the value of k.
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Solution
⇒
We have,
p
(
x
)
=
5
x
2
+
13
x
+
k
Let first root be
α
, then other root
=
1
α
Now, products of the roots
=
C
o
n
s
t
a
n
t
t
e
r
m
C
o
e
f
f
.
o
f
x
2
⇒
α
×
1
α
=
k
5
⇒
1
=
k
5
⇒
k
=
5
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Similar questions
Q.
If one root of the polynomial
f
(
x
)
=
5
x
2
+
13
x
+
k
is reciprocal of the other,then find the value of k
Q.
If one root of the polynomial f(x) = 5x
2
+ 13x + k is reciprocal of the other, then the value of k is
(a) 0
(b) 5
(c)
1
6
(d) 6