Question

if the sum and the product of the zeroes of the polynomials are 5 and -3.Determine the polynomial.

Answer 1

Heya !!!


Let Alpha and beta are the zero of the polynomial P(X).


Sum of zeroes = (Alpha + Beta) = 5


And,


Product of zeroes = alpha × Beta = -3


Therefore,


Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes


=> X²-(5)X+(-3)



=> X²-5X-3



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