Question

find a quadratic polynomial whose sum and product of zeroes are -8/3 , 4/3

Answer 1

Hiii friend,


Let alpha and beta are the zeroes of the polynomial.



Sum of zeroes = (Alpha + Beta) = -8/3


And,


Product of zeroes = (Alpha × Beta) = 4/3


Therefore,


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


=> X²-(-8/3) X + 4/3


=> X²+8X/3 + 4/3


=> 3X²+8X+4/3 = 0


=> 3X²+8X+4 = 0 × 3


=> 3X²+8X+4 = 0

Hence,


The Quadratic polynomial is 3X²+8X+4



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

Answer 2

let the zeros be A and B.
given that A+B= -8/3 and
AB= 4/3.
then the given polynomial will be
x2 -( A+B )x + (AB)
=> x2 + 8/3x + 4/3.


here x2 is
${x}^{2}$
hope it helps. if yes mark it as Brainliest.