find the quadratic polynomial whose zeroes are 2 and -6
Answers
Answered by
0
Solution:-
As the zeroes are given, i.e., 7 and -5.
∴
Sum of roots
=
7
+
(
−
5
)
=
7
−
5
=
2
Product of roots
=
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
⇒
x
2
−
(
2
)
x
+
(
−
35
)
=
0
⇒
x
2
−
2
x
−
35
=
0
Hence, the polynomial is x 2 − 2x − 35 = 0
Similar questions