Find the quadratic polynomial whose zeros are √2+3 &√2-3

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Solution

Let
alpha= √2+3 and Bita=√2-3
now
its a general equation for second degree polynomial

x^2-(alpha+bita)+alpha. bita

=x^2-(√2+3+√2-3)+(√2+3).(√2-3)

=x^2-2√2x+(√2)^2-(3)^2

=x^2-2√2x+2-9

=x^2-2√2x-7

LIke if satisfied

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