Question

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

Answer 1

\(x^2 + 5x + 6\)

factor it

if it is

\((x+a)(x+b)\) then you have \(x^2 + (a+b)x + ab\)

so that means that

\(ab = 6\)

and

\(a + b = 5\)

F.O.I.L.

Answer 2

we'll put f(x)=0
that is:
x2 + 5x+ 6=0
we get x=-3 and x=-2 by factorization