Question

x² −x −6
Help me with this

Answer 1

Answer:Find factors of  − 6, then add them up individually to find the ones that add to  - 1  and you'll get to  (  x  − 3) ( x+ 2 )

Step-by-step explanation:   Let's start with the original:  

x 2 −x − 6

The way to factor something is to 2 numbers that will add up to  − 1  but multiply to  − 6 . To do that, let's think about what we need to multiply to get to   − 6  - and that is (I'll put them in a list):

( 1 ⋅ − 6 ) , ( − 1 ⋅ 6 ), ( 2 ⋅ − 3 ) , ( − 2 ⋅ 3 ) .

If we add those up individually we get

− 5 , 5 ,− 1 , 1

So we can use the  

( 2 , − 3 )  like this

( x − 3 ) ( x + 2 )

and we're done.

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