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Standard IX
Mathematics
Zeroes of a Polynomial
24 For the po...
Question
24 For the polynomial fx =x+ax+bx+c the sum of two zeroes is 0 then find the relation between a b c
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Q.
Find the quadratic polynomial whose zeros are reciprocals of the zeros of the polynomials
f
(
x
)
=
a
x
2
+
b
x
+
c
,
a
≠
0
,
c
≠
0
.
Q.
If
1
2
and 0 are the zeroes of the polynomial
f
(
x
)
=
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3
+
a
x
2
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x
+
c
,
and b + c = 2, then the value of b(c – a) is
Q.
If
f
(
x
)
is a polynomial of degree
<
3
,
then,
f
(
x
)
(
x
−
a
)
(
x
−
b
)
(
x
−
c
)
=
Q.
If the zeroes of the quadratic polynomial
a
x
2
+
b
x
+
c
,
c
>
0
are equal, then
Q.
If
α
and
β
are the zeroes of the quadratic polynomial
p
(
x
)
=
a
x
2
+
b
x
+
c
,
(
a
≠
0
)
then _________
=
c
a
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