Question

Find a quadratic polynomial the sum and product of whose zeros are 0 and √2

Answer 1

Answer:

if a and b are two zeros of a polynomial, then p(x) = x^2 - x(a + b) + ab

given a + b = 0 and ab = √2

therefore p(x) = x^2 - x(0) + √2

=> p(x) = x^2 + √2