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The quadratic polynomials and have zeros and respectively
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
The quadratic polynomials
p
1
(
x
)
=
3
x
2
+
5
x
+
1
p_1(x)=3x^2+5x+1
p
1
(
x
)
=
3
x
2
+
5
x
+
1
and
p
2
(
x
)
=
3
x
2
+
5
x
−
7
p_2(x)=3x^2+5x-7
p
2
(
x
)
=
3
x
2
+
5
x
−
7
have zeros
(
α
1
,
β
1
)
(\alpha_1,\beta_1)
(
α
1
,
β
1
)
and
(
α
2
,
β
2
)
(\alpha_2,\beta_2)
(
α
2
,
β
2
)
respectively. Will
α
1
+
β
1
\alpha_1+\beta_1
α
1
+
β
1
be equal to
α
2
+
β
2
\alpha_2+\beta_2
α
2
+
β
2
? Give a brief reason for your answer.
Related theory
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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