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Byju's Answer
Standard XII
Mathematics
Relations between Roots and Coefficients : Higher Order Equations
Q- #160;Fin...
Question
Q
-
F
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n
d
t
h
e
q
u
a
d
a
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t
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c
p
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l
y
n
o
m
i
a
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w
h
o
s
e
z
e
r
o
e
s
a
r
e
3
+
5
a
n
d
3
-
5
Q
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F
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n
d
q
q
u
a
d
r
a
t
i
c
p
o
l
y
n
o
m
i
a
l
w
h
o
s
e
o
n
e
z
e
r
o
i
s
-
8
a
n
d
s
u
m
o
f
t
h
e
z
e
r
o
e
s
i
s
0
.
Open in App
Solution
1
.
Let
α
=
3
+
5
and
β
=
3
-
5
Now
,
α
+
β
=
3
+
5
+
3
-
5
=
6
Now
,
αβ
=
3
+
5
3
-
5
=
9
-
5
=
4
Now
,
required
polynomial
is
,
f
x
=
k
x
2
-
α
+
β
x
+
αβ
,
where
k
is
a
non
zero
scalar
=
k
x
2
-
6
x
+
4
=
x
2
-
6
x
+
4
On
taking
k
=
1
2
.
Let
α
=
-
8
Now
,
let
β
be
the
other
zero
of
required
polynomial
p
x
.
Now
,
α
+
β
=
0
⇒
-
8
+
β
=
0
⇒
β
=
8
Now
,
αβ
=
-
8
×
8
=
-
64
Now
,
required
polynomial
is
,
f
x
=
k
x
2
-
α
+
β
x
+
αβ
,
where
k
is
a
non
zero
scalar
=
k
x
2
-
0
x
-
64
=
x
2
-
64
On
taking
k
=
1
Suggest Corrections
0
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Find the quadratic polynomial whose one zero is -8 and sum of zeroes is 0.
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Relations between Roots and Coefficients : Higher Order Equations
Standard XII Mathematics
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