A quadratic polynomial, whose zeroes are -3 and 4, is
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Answer:
Solution:-
As the zeroes are given, i.e., 7 and -5.
∴
∴ Sum of roots
=
7
+
(
−
5
)
=
7
−
5
=
2
=7+(−5)=7−5=2
Product of roots
=
7
×
(
−
5
)
=
−
35
=7×(−5)=−35
As we know that, a quadratic polynomial whose xeroes are given can be represented as-
x
2
−
(
sum of roots
)
x
+
product of roots
=
0
x2−(sum of roots)x+product of roots=0
⇒
x
2
−
(
2
)
x
+
(
−
35
)
=
0
⇒x2−(2)x+(−35)=0
⇒
x
2
−
2
x
−
35
=
0
⇒x2−2x−35=0
Hence, the polynomial is
x
2
−
2
x
−
35
=
0
x2−2x−35=0.
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