Question

The equation whose roots are -2 and -6 is ________.​

Answer 1

Answer:

x²+8x+12=0

Step-by-step explanation:

so use sum of roots formula α+β=-b/a

so as here, α=-2 and β=-6 so α+β=-8

and αβ=c/a so, (-2)(-6)=12

so, now put in formula of quadratic

as, x²-(α+β)x+αβ=0

so, x²-(-8)x+12=0

so, your answer becomes x²+8x+12=0