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Byju's Answer
Standard X
Mathematics
Formation of a Quadratic Equation From It's Roots
If α, β, y ar...
Question
If α, β, γ are the zeros of the polynomial 2x
3
+ x
2
− 13x + 6, then αβγ = ?
(a) −3
(b) 3
(c)
-
1
2
(d)
-
13
2
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Solution
(
a
)
-
3
Since
α
,
β
and
γ
are the zeroes of
2
x
3
+
x
2
−
13
x
+
6
,
we have:
αβγ
=
−
(
constant term
)
co-efficient of
x
3
=
−
6
2
=
−
3
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0
Similar questions
Q.
If α, β are the zeros of the polynomial x
2
+ 6x + 2, then
1
α
+
1
β
=
?
(a) 3
(b) −3
(c) 12
(d) −12
Q.
If
α
,
β
and
γ
are the zeroes of the polynomial
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x
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−
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x
+
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then
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If
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If f(x) =
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+
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Assertion :If
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,
3
are the zeroes of a quadratic polynomial, then polynomial is
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Reason: If
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