Factorizing algebriac expressiosn

[main fiber]

I need help to learn these can someone do 1 on 1?

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[radiant palm]

so for all of these

you need to write it as (x-a)(x-b)

as when you expand it you get

x^2-ax-bx+ab

so note that your middle x value is the sum of a and b

and your last value is the product of a and b

so lets take the first one as an example, x^2+4x+3

we list factors of 3

keep in mind these can be negative as well

so 1 3 and -1 -3

now we see which one sums to 4

and 1+3=4

so your first one is (x+1)(x+3)

@main fiber make sense?