Question

find the zeroes of polynomial fx =2xx+5x-12 and verify the relation between zeroes and coefficent

Answer 1

2x^2+5x-12=0
2x^2+8x-3x-12=0
2x(x+4)-3(x+4)=0
(x+4)(2x-3)=0
x=-4   or   x=3/2
2x^2+5x-12=0
sum of the roots -4+3/2=-b/a
                            -5/2=-5/2
                      lhs=rhs
product of the roots -4.3/2=c/a
                                 -6=-12/2
                         lhs=rhs
hope it helps you