Question

Find the quadratic polynomial whose zeroes are 3+root5 and 3-root5

Answer 1

Hii friend,

(3+✓5) and (3-✓5) are the zero of the polynomial.

Let alpha = 3+✓5 and Beta = 3-✓5.


Sum of zeros = (Alpha + Beta) = (3+✓5) + (3-✓5) = 6

Product of zeros = (Alpha × Beta) = (3+✓5)(3-✓5) = (3)² - (✓5)² = 9-5 = 4.


Therefore,

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

=> X²-6X+4

Hence,

The Quadratic polynomial = X²-6X+4.


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

Answer 2

hey friend here is your answer
plz see this attachment
hope this will help u...