Question

Find a quadratic polynomial the sum abd product of zeroes √2 and 1/3 respectively

Answer 1

To form a quadratic equation we have formula as
=> x² - ( sum of zeros ) x + ( product of zeros )

Following this,
we get,

x² - √2x + 1/3...( by taking 3 as LCM )

3x² - 3√2 + 1 is the required polynomial .