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If is a root of
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
If
α
\alpha
α
is a root of
4
x
2
+
2
x
−
1
=
0
4x^2+2x-1=0
4
x
2
+
2
x
−
1
=
0
, prove that
4
α
3
−
3
α
4\alpha^3-3\alpha
4
α
3
−
3
α
is the other root.
Related theory
Algebraic Identities
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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