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If alpha and beta are the zeros of x2-3x+1 find another polynomial whose zeros are alpha +1 and beta +1
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it is easy see
x2-3x+1 has 0s al+1 and bt +2
so we know that.
x2 +( sum of zeros) x + product of zeros
x2+(alpha + beta + 2) x + alphabeeta + 1
x2 +alpha x+ Berta x + 2 x + alpha beta + 1
done
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