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If , , and are the roots of ,…
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
If
α
\alpha
α
,
β
\beta
β
, and
γ
\gamma
γ
are the roots of
x
3
−
p
x
2
+
q
x
−
r
=
0
x^3-px^2+qx-r=0
x
3
−
p
x
2
+
q
x
−
r
=
0
, find: (i)
∑
α
2
\sum \alpha^2
∑
α
2
(ii)
∑
α
2
β
\sum \alpha^2\beta
∑
α
2
β
(iii)
∑
α
3
\sum \alpha^3
∑
α
3
Related theory
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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