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Factoring (look for the greatest common factor), Made by: Alejandro…
Factoring (look for the greatest common factor)
1ºst step: does it has something in common?
If yes we can proceed.
let's say we have x2 + 8x
they have the X in common right?
the smallest x is the one out and you start the parentesis
x(?+?)
then you get down the root square of x and the 8.
x(x+8)
so the x outside the parentresis would be 0
1 more item...
2ºnd step: does it have 2 terms and both have exact root square?
if yes we can proceed
x2-4
the root square of x2 is x and of 4 is 2
(x-2)(x+2)
if it gaves 0 both parentesis x would be 2 in the first parentesis and -2 in the second one.
3ºrd step: does it has 3 factors?
if it does we can proceed.
x2+8x+15
we need to make root square of x2 and see the terms that multiply
so x2 root square is x
and if we multyply 3*5 is 15 so it can be
now we sum it and we got 8x.
is it the same tern that the one in middle
Yes so the factor is true.
4th step: does it has 4 factors
If so you need to look for the common monomial and common polinomial.
Lets say you got y3+3y2 +4y+12
We need to make grouping
So it will be: y2(y+3)+4(y+3)
(y+3)(y2+4)
Made by: Alejandro Carrillo Rosa lopes y Eugenio Briceño Pérez