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Standard X
Mathematics
Formation of a Quadratic Equation From It's Roots
24. If alpha ...
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24. If alpha and beta are the zeroes of the quadratic polynomial f(t)=t(square)_(minus)5t+3 then the value of alpha (power4)beta (power3)+alpha (power3)beta (power4)
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Q.
If
α
&
β
are zeros of p(x) and
α
+
β
=
24
&
α
−
β
=
8
, then find quadratic polynomial.
Q.
Assertion :If
2
,
3
are the zeroes of a quadratic polynomial, then polynomial is
x
2
−
5
x
+
6.
Reason: If
α
,
β
are the zeroes of a monic quadratic polynomial, then polynomial is
x
2
−
(
α
+
β
)
x
+
α
β
.
Q.
If
α
and
β
are zeros of a quadratic polynomial such that
α
+
β
=
24
and
α
−
β
=
8
find a quadtratic polynomial having
α
and
β
as it's zeros.
Q.
If
α
and
β
are the zeroes of the quadratic polynomial
f
(
x
)
=
2
x
2
−
5
x
+
7
,then a polynomial whose zeroes are
2
α
+
3
β
and
3
α
+
2
β
is
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Formation of a Quadratic Equation From It's Roots
Standard X Mathematics
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