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  • If are the zeroes of polynomial p(x) = 3x2+ 2x + 1, find the polynomial whose zeroes  [5] and β and 1−α 1+α 1−β 1+β</p

If are the zeroes of polynomial p(x) = 3x2+ 2x + 1, find the polynomial whose zeroes  [5] and β
and
1−α
1+α
1−β
1+β

Answers (1)

best_answer

\frac{1-\alpha}{1+\alpha} \text { and } \frac{1-\beta}{1+\beta}

\alpha^{\prime}+\beta^{\prime}=\frac{1-\alpha}{1+\alpha}+\frac{1-\beta}{1+\beta}=2

\alpha^{\prime} \beta^{\prime}=\frac{(1-\alpha)(1-\beta)}{(1+\alpha)(1+\beta)}=3

x^2-2 x+3

Posted by

Divya Sharma

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