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(Q19) Find the quadratic polynomial in each case,with the given numbers as the sum and product of its zeros respectively √2,
1

3
.

Answer:

Here,α+γ=√2 and αγ

1

3

Thus the polynomial formed =x²-(sum of the zeros )+product of the zeros

=x²-(√)x+

=x²-√x+

then the polynomial is x²-√x+