Long division help: I was wondering if anyone could help me out with these 3 problems. Thank you :)

Use long division to find the quotient.

1) (m2 – m + 6) ÷ (m – 3)

2) (n2 + 10n + 18) ÷ (n + 5)

3) (6b2 – 17b + 12) ÷ (3b – 4)

Question

Long division help: I was wondering if anyone could help me out with these 3 problems. Thank you :)

Use long division to find the quotient.  

1)  (m2 – m + 6) ÷ (m – 3)			

2)  (n2 + 10n + 18) ÷ (n + 5)

3)  (6b2 – 17b + 12) ÷ (3b – 4)

rebeccaxhawaii · Answer

okay so lets start with #1 okay?

anonymous · Answer

alright. :)

rebeccaxhawaii · Answer

@piercethesirenss come back IM HERE

rebeccaxhawaii · Answer

okay so #1 ever heard of synthetic division?

anonymous · Answer

yes I have I know how to do synthetic division, but ive always gotten so lost with long division

rebeccaxhawaii · Answer

okay ill show you number one and we will do #2 together okay?

anonymous · Answer

awesome thanks !

rebeccaxhawaii · Answer

ill ask you questions along the way
but 
m=1m right?
they just dont put the 1 but is there

rebeccaxhawaii · Answer

just like x=1x
y=1y
a=1a
etc got it?

anonymous · Answer

alright got it

rebeccaxhawaii · Answer

okay so lets make the synthetic chart what is your divisor ?

anonymous · Answer

is it m-3?

rebeccaxhawaii · Answer

yes correct

rebeccaxhawaii · Answer

but this is the part you need to remember 
m-3 will be +3 
when you plug it into the chart
its going to be the opposite got it?

anonymous · Answer

got it, so positive 3

rebeccaxhawaii · Answer

okay lets just say we had x+4 what would we plug into the chart?

anonymous · Answer

-4?

rebeccaxhawaii · Answer

great you are catching on

rebeccaxhawaii · Answer

so when making the chart put 3 in the corner|dw:1459279758646:dw|got it?

anonymous · Answer

yes got it

rebeccaxhawaii · Answer

whats your divined ?

anonymous · Answer

m^2-m+6 , right?

rebeccaxhawaii · Answer

yup|dw:1459279987141:dw|see what i did here?