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Byju's Answer
Standard IX
Mathematics
Factor Theorem
If α and ...
Question
If
α
and
β
are the zeros of the polynomial
2
x
2
+
7
x
+
5
, write the value of
α
+
β
+
α
β
.
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Solution
Given :
α
and
β
are the zeros of the polynomial
2
x
2
+
7
x
+
5
α
+
β
= sum of zeros =
−
(
coefficient of
x
)
(
coefficient of
x
2
)
=
−
7
2
α
β
= product of zeroes =
(
constant term
)
(
coefficient of
x
2
)
=
5
2
α
+
β
+
α
β
=
(
α
+
β
)
+
α
β
=
−
7
2
+
5
2
=
−
1
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