Q12: If -5 and 7 are zeroes of x* - 6x? - 26x + 138x - 35 find the other zeroes.

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Ler the zeroes of the polynomial ( therefore ) Relaing ( beta ) ty ( 1 / 2 ) [ begin{array}{r} alpha+frac{1}{alpha}=4 alpha^{2}-4 alpha+1 quad alpha=frac{4 pm sqrt{12}}{2}=2 pm sqrt{3} therefore text { as } 2+sqrt{3}=frac{1}{2-sqrt{3}} alpha=2+sqrt{3} text { and } beta=2-sqrt{1} end{array} ]

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