Question

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and - √2 respectively.​

Answer 1

Here is your answer⤵

sum of the root = 0

product of the root = -√2

Equation for a quadratic polynomial

x^2+(sum of the root)x+(product of the root) = 0

x^2 + 0 x -√2 = 0

x^2 - √2 = 0

Hope Its Helps You ☺

Answer 2

Answer:

$using \: quadratic \: formula \:$

${x }^{2} - x \times \alpha + \beta \times \alpha \beta$

alpha plus beta =-√2