Question

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

Explain your workings please
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Answer 1

`(p + 3)(p + 1)`

Explanation:

We want to factorize:

`{p}^(2) + 4p + 3`

This is a quadratic trinomial.

We split the middle term with factors of 3 that sums up to 4

`{p}^(2) + 3p + p + 3`

Factor by grouping

`p(p + 3) + 1(p + 3)`

Collect common factors to get;

`(p + 3)(p + 1)`