find the
quadistic Polynomial whose Zeroes
are 6 and -3.
Answers
Answered by
5
Answer:
⇒
⇒ Given zeros are
α
=
2
α=2 and
β
=
−
6
β=−6.
⇒
⇒ Sum of zeros
=
α
+
β
=
2
+
(
−
6
)
=
−
4
=α+β=2+(−6)=−4
⇒
⇒ Product of zeros
=
α
×
β
=
2
×
(
−
6
)
=
−
12
=α×β=2×(−6)=−12
⇒
⇒ Quadratic polynomial
=
x2−(α+β)x+(α×b)
=x2−(α+β)x+(α×β)
⇒
⇒ Quadratic polynomial
=x2−(−4)x+(−12)
=x2−(−4)x+(−12)
∴ Quadratic polynomial
=x2+4x−12
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