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For the quadratic polynomial
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
For the quadratic polynomial
7
x
2
−
9
x
−
6
7x^{2}-9x-6
7
x
2
−
9
x
−
6
, let the zeros be
α
\alpha
α
and
β
\beta
β
. (i) Find
α
+
β
\alpha+\beta
α
+
β
. (ii) Find
α
β
\alpha\beta
α
β
. (iii) Without determining
α
\alpha
α
and
β
\beta
β
individually, calculate the value of
α
2
+
β
2
\alpha^{2}+\beta^{2}
α
2
+
β
2
. Show all working.
Related theory
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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