Question

find a quadratic polynomial whose one of zeros - 15 and sum of 0 42

Answer 1

Heya !!!

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



Let Alpha = -15

Sum of Zeroes = 42


Alpha + Beta = 42

-15 + Beta = 42


Beta= 42 + 15

Beta = 57


Product of zeroes = Alpha × Beta = -15 × 57 = -855



Therefore,


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


=> X²-(42)X + (-855)


=> X²-42X - 855



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