Answer:
[tex](p + 3)(p + 1)[/tex]
Step-by-step explanation:
We want to factorize:
[tex] {p}^{2} + 4p + 3[/tex]
This is a quadratic trinomial.
We split the middle term with factors of 3 that sums up to 4
[tex] {p}^{2} + 3p + p + 3[/tex]
Factor by grouping
[tex]p(p + 3) + 1(p + 3)[/tex]
Collect common factors to get;
[tex](p + 3)(p + 1)[/tex]
