Question

find the quadratic polynomial whose roots are 3 + root 3 and 3 minus root 3​

Answer 1

Answer:

x^2-6x+6=0

Step-by-step explanation:

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Answer 2

Given : roots of a  quadratic polynomial  

3 + √3   .  3 - √3

To Find : quadratic polynomial

Solution:

Roots

3 + √3   .  3 - √3

Sum of roots = 3 + √3  + 3 - √3   = 6

Product of roots = (3 + √3 )(3 - √3) = 9 - 3 =  6

quadratic polynomial   = x² - (sum of roots)x + product of roots

= x² - 6x + 6

x² - 6x + 6 is the required quadratic polynomial whose roots are 3 + root 3 and 3 minus root 3​

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