Question

find a cubic polynomial whose zero are 5,6and -4​

Answer 1

let the sum of zeroes be H

sum of zeroes =5+6-4=7

let the product of zeroes taken 2 at a time be J

product of zeroes taken 2 at a time

=5×6+6(-4)+5(-4)=30-24-20=-14

let the product of zeroes be G

product of zeroes=5×6(-4)=-120

general form of cubic polynomial=

p(x)=k(x³-(H)x²+(J)x-G)

=k(x³-7x²-14x+120)

k=1

p(x)=x³-7x²-14x+120