Question

If alpha and beta are the zeros of polynomial p(x)=3x^2+2x+1,find the polynomial whose zeroes are 1-alpha/1+beta and 1- beta/1+beta

pls answer it fast pls....

time:9.08pm

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Answer 1

Answer:

(1+α)(1+β)

(1−α)(1−β)

(1+α+β=αβ)

(1−α−β+αβ)

(

1+(α+β)+αβ

1−(α+β)+αβ

)

⎣

⎢

⎢

⎡

1−

3

2

+

3

1

1+

3

2

+

3

1

⎦

⎥

⎥

⎤

[

2

2×3

]=3

=

(1+α+β+αβ)

(1−α)(1+β)+(1−β)(1+α)

=

3

2

1+β−α−αβ+1+α−β−αβ

=

2

3(2−2αβ)

=3(1−αβ)

=3(1−

3

1

)

=2