Question

find the quadratic polynomial whose sum and product of zeroes are 21/8 , 5/16

Answer 1

Hiii friend,


Let alpha and beta are the zeroes of the Quadratic polynomial.



Sum of zeroes = (Alpha + Beta) = 21/8


And,


Product of zeroes = (Alpha × Beta) = 5/16


Therefore,



Required Quadratic polynomial = X²-(Alpha + Beta)X + Alpha × Beta


=> X²-(21/8)X + 5/16


=> X²-21X/8 + 5/16


=> 16X²-42X+5/16 = 0


=> 16X²-42X+5 = 0


Hence,


Quadratic polynomial is 16X²-42X+5


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