Question

2. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively, ✓2,1/3
​

Answer 1

Answer:

given,

alpha+beta=√2

alpha × beta = 1/3

we know that

${x}^{2} + ( \alpha + \beta )x + \alpha \beta$

so,

x²+√2x+1/3=0

on taking LCM

3x²+3√2x+1=0