find product of zeroes of polynomial 1-x^2-2x
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grugfgihf6jfuutygg vghgybhn. bn. buyfghfxvbgcvh
- grugfgihf6jfuutygg vghgybhn. bn. buyfghfxvbgcvh
grugfgihf6jfuutygg vghgybhn. bn. buyfghfxvbgcvh
grugfgihf6jfuutygg vghgybhn. bn. buyfghfxvbgcvh
grugfgihf6jfuutygg vghgybhn. bn. buyfghfxvbgcvh
grugfgihf6jfuutygg vghgybhn. bn. buyfghfxvbgcvh
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Answer:
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Given: Polynomial x
2
−2x+1 having α,β as the zeroes.
To find product of zeroes of a polynomial having zeroes
α
1
and
β
1
Sol: For polynomial x
2
−2x+1 having α,β as the zeroes.
We know, sum of zeroes = α+β=2⟹α=2−β..........(i)
product of zeroes = αβ=1
Substituting the valu from eqn(i) we get
(2−β)β=1⟹β
2
−2β+1=0
⟹β=1
and α=2−β=2−1=1
Now the product of zeroes of the polynomial with
α
1
,
β
1
as zeroes, is
α
1
×
β
1
=
αβ
1
=1
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