Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively

2,13

2 Answers

1357
Manish Shankar ·

The polynomial will be

x2-(sum of roots)*x+product of roots=0

21
Debjit Kumar Mondal ·

Here α+β=√2 and αβ=13
Therefore, the required solution is
x2-(α+β)x+αβ
x2-√2x+13
3x2-3√2+1

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