The expression is fully factorized to give (h + 4) (h + 3)
To factorize the expression, we have that the expression is given as;
h² +7h+12
Now, find the pair factors of the constant value that add up to give 7, then, substitute the value of 7 with the two factors.
Then, we have;
h² + 3h + 4h + 12
Group the expression in pairs, we get;
(h² + 3h) + (4h + 12)
h(h + 3) + 4(h + 3)
Then, we get that the expressions;
(h + 4) (h + 3)