Question

write a quadratic polynomial,sum of whose zeros is 2 root 3 and product is 2

Answer 1

Hey!!!!

Given,

=> Sum of zeros = 2√3(S)

=> Product of zeros = 2(P)

Required Quadratic Polynomial

=> k (x² - Sx + P)

=> k(x² - 2√3x + 2)

Hope this helps ✌️

Answer 2

Hii friend,

Let alpha and beta are the zeros of the P(X).

Sum of zeros = (Alpha + Beta) = 2✓3

Product of zeros = ( Alpha × Beta) = 2

Therefore,

QUADRATIC POLYNOMIAL = X²-(Alpha+Beta)X + Alpha × Beta

=> X²-2✓3X+2.


HOPE IT WILL HELP YOU..... :-)