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Byju's Answer
Standard IX
Mathematics
Zeros of a polynomial
A quadratic p...
Question
A quadratic polynomial whose zeroes
are
3
4
and
1
2
is
A
8
x
2
−
10
x
+
3
8
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B
10
x
2
−
8
x
+
3
4
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C
8
x
2
+
10
x
+
3
8
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D
10
x
2
+
8
x
+
3
4
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Solution
The correct option is
A
8
x
2
−
10
x
+
3
8
Given:
α
=
3
4
and
β
=
1
2
∴
α
+
β
=
3
4
+
1
2
=
3
+
2
4
=
5
4
and
α
β
=
3
4
×
1
2
=
3
8
We know that, if
α
,
β
are the zeros of
the quadratic polynomial, the
quadratic polynomial is given by
x
2
−
(
α
+
β
)
x
+
α
β
⇒
x
2
−
5
4
x
+
3
8
⇒
8
x
2
−
10
x
+
3
8
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Similar questions
Q.
Divide
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8
x
2
y
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−
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+
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y
3
)
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Q.
Divide:
8
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−
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Q.
What will be the remainder if
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x
2
+
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x
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is divided by
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x
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?
Q.
Which of the following is the greatest common factor of the monomials
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x
4
,
4
x
3
and
10
x
2
?
Q.
Find the value of
m
so that
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be a factor of
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