Question

Find the quadratic polynomial of the sum and products of whose zeros are Root 2 and 1 by 3

Answer 1

Answer:

3x² - 3√2x + 1

Step-by-step explanation:

Let alpha and beta be the zeroes of the required polynomial.

Therefore, (alpha+Beta) =√2

(alpha×Beta) =1/3

so, the reqiured polynomial is:

x² - (alpha+beta)x + (alpha×beta)

x² - √2x + 1/3

3x² - 3√2x + 1

Hope I was able to help you.