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Byju's Answer
Standard X
Mathematics
Nature of Roots
The quadratic...
Question
The quadratic polynomial whose zeroes are -3, 5 is given by
A
x
2
−
3
x
−
15
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B
x
2
−
2
x
−
7
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C
x
2
−
2
x
−
15
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D
x
2
−
2
x
+
15
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Solution
The correct option is
C
x
2
−
2
x
−
15
The zero of the polynomial is defined as any real value of x, for which the value of the polynomial becomes zero.
if
x
=
−
3
then
In the equation
x
2
−
2
x
−
15
⇒
(
−
3
)
2
−
2
×
−
3
−
15
⇒
9
+
6
−
15
=
0
if
x
=
5
then
In the equation
x
2
−
2
x
−
15
⇒
(
5
)
2
−
2
×
5
−
15
⇒
25
−
10
−
15
=
0
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Q.
If
,
are zeroes of the polynomial x
2
− 2x − 15, then form a quadratic polynomial whose zeroes are (2
) and (2
).