Find the zeros of the following expression x^2+5x+6 show all work

Let y = 0 to find the zeros.


We can now split the middle term into factors of 6 that add up to 5.


Group the first two terms, and group the last two terms, and factorise.



Group like terms.


Now, we know that in order for a zero to occur, either x + 3 = 0 or x + 2 = 0.
Hence, x = -3 and -2 are the zeros in this quadratic.