Question

find the sum and product of its zero of the polynomial FX equal to 2xsquare - 5 x–12.​

Answer 1

Hey mate!!

2x^2+5x-12=0

2x^2+8x-3x-12=0

2x(x+4)-3(x+4)=0

(2x-3)(x+4)=0

2x-3=0

x=3/2 and x+4=0

x=-4

now, sum of zeroes =-b/a=-5/2

= 3/2-4=3-8/2=-5/2

product of zeroes=c/a=-12/2

=3/2*-4=-12/2

hope it helps!!