Question

Verify the relationship between its zeroes and its coeficeints
2x² - x - 6​

Answer 1

Answer:

2xsqure-4x+3x-6=0

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

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

2x+3=0

2x=-3

x=-3/2

x-2=0

x=2

x=-3/2,2

Answer 2

Answer:

2x^2-x-6 = 2x^2-4x+3x-6

2x(x-2)+3(x-2)

(2x+3)(x-2)

zeroes are:-3/2 and 2

verification

product of zeroes=-3/2×2=-3=c/a=-6/2=-3

sum of zeroes=-3/2+2=1/2=-b/a=-(-1)/2=1/2