Question

Using synthetic division, what is the quotient: (x3 + 7x2 + 5x – 20) ÷ (x + 3) ?

Answer 1

the quotient is what you end up with on the bottom i beleive

Answer 2

if your asking how to DO synthD thats a different can of worms

Answer 3

How do you do that amistre?

Answer 4

the first thing I do is make sure I got all the exponents; you need a complete set in order to perform it proerly; any missing parts get zeroed out

this is good tho: 3,2,1,0 is all there

so strip the coeffs and their signs and put them in a row

Answer 5

I was reading it on wikipedia but i didn't get it :(

Answer 6

c1 c2 c3 c4

next we want a row that we will fill in to add these coeffs too; and start it with a 0


c1 c2 c3 c4
0
-------------
<--------------this next row we will fill in with the sums from the top
and multiply them to our "root"



c1 c2 c3 c4
0
----------------
r ) c1 then we just follow thru like a synthD machine



c1 c2 c3 c4
0 rc1 r(rc1+c2) r(r(rc1+c2)+c3)
---------------------------------------
r ) c1 rc1+c2 r(rc1+c2)+c3 with any luck this is a 0 on the end,
otherwise its the remainder

the under side there is our quotient

Answer 7

the quotient is one degree less that what we started with; in this case we drop from x^3 to x^2

Answer 8

this is too complicated...long division method is better -_-

Answer 9

its complicated to expalin, its simple to do :)

Answer 10

you do all the parts of longhand ... so its not any more complicated, in fact its a smidge simpler

Answer 11

try it out, write out the coeffs in a row for me

Answer 12

then the next row is our addings; start it with a zero and underscore the whole thing