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Copy and use the brackets to factorize p squared +4P +3

Explain your workings please
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kudzordzifrancis

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]