Question

904, LUULUU V
Find the zeroes of the quadratic polynomial
(X+5x+6) and verify the relation between the
zeroes and the coefficients.​

Answer 1

Answer:

Step-by-step explanation:

let f(x)=x²+5x+6

=x²+3x+2x+6

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

=(x+3)(x+2)

f)x)=0

if  x+2= or x+3=0

so x=-2,-3

hence zeros are -2,-3

==========

now in  f(x)=x²+5x+6

a=1,b=5,c=6

sum of zeros=-2-3=-5=-5/1=-b/a

and product of zeros=(-)(-3)=6=6/1=c/a

Hence the relation between the  zeroes and the coefficients. is verified