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Maths CBSE Live product
Class 10 (2026-27)
Polynomials
Relation between Zeroes and Co-efficient of the Polynomial
10.
TBQ - Verify the following
Question:
3
m.
Check
that \(4, -1, \frac{-1}{4}\) are the zeroes of the cubic polynomial
p
(
x
)
=
4
x
3
−
11
x
2
−
19
x
−
4
, and then
show
the relationship between the zeroes and the coefficients.
\(4\) is the
not a zero
zero
of the polynomial
p
(
x
)
=
4
x
3
−
11
x
2
−
19
x
−
4
\(-1\) is the
not a zero
zero
of the polynomial
p
(
x
)
=
4
x
3
−
11
x
2
−
19
x
−
4
\(\frac{-1}{4}\) is the
not a zero
zero
of the polynomial
p
(
x
)
=
4
x
3
−
11
x
2
−
19
x
−
4
−
coefficient
of
x
2
coefficient
of
x
3
=
α
+
β
+
γ
=
i
i
coefficient
of
x
coefficient
of
x
3
=
α
β
+
β
γ
+
α
γ
=
i
i
−
constant
coefficient
of
x
3
=
α
β
γ
=
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