Question

draw the graph of polynomial x^2+5x+6 find zeros and justify your answer

Answer 1

x²+5x+6

x²+2x+3x+6

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

(x+2)(x+3)

(x+2)=0
x=-2

(x+3)=0
x=-3


roots of the equation are -2 & -3

x²+5x+6

sum of roots=-2-3
=-5

-(coefficient of x)/coefficient of x²=-b/a
=-5/1
=-5

so,
sum of roots=-(coefficient of x)/coeff.of x²


now,

product of roots=-2×(-3)
=6

Constant term/coefficient of x²=c/a
=6/1
=6

So,
product of roots=constant term/coeff.ofx²

hence,verified..

@Altaf

Answer 2

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

Step-by-step explanation:

p(x)=x2+5x+6

let p(x)=0

x2+5x+6=0

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