Question

What are the zeroes of f(x) = x2 + 5x + 6?

x = −2, −3
x = 2, 3
x = −2, 3
x = 2, −3

Answer 1

Here is your answer

a) x=-2, -3

REASON :

`f(x)= {x}^(2)+5x+6`

=
`{x}^(2)+2x+3x+6`

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

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

To find zeroes

f(x)= 0

So,

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


`x=-2 or x=-3`

HOPE IT IS USEFUL