Question

find the zeroes of the quadratic polinomial x²+5x+6 and verify the relationship between the zeroes and the coefficients​

Answer 1

Answer:

x^2+5x+6

x^2+2x+3x+6

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

(x+2)(x+3)

x+2=0 x+3=0

x=-2 x=-3

Relationship- sum =-2+(-3)=-5

alpha+beta =-b/a

=-5/1=-5

product = -2×(-3)=6

alpha×beta =6×1=6

Hence relationship is verified