Question

Use the RAtional Root Theorem to list the possible rational roots for the followin equation.
f(x)=x^2+2x+1

Answer 1

factors last#
----------
factors first#

Answer 2

+- 1
---
1

Answer 3

since allthe signs are + there are no + roots

Answer 4

I dont know this Rational root theorm, but what I see from the constant term is......possible roots are the factors of the constant term.
factors of 1 are, 1 and -1
so possible roots are +- 1

Answer 5

rational means fraction

and the therum says we cannarrow our trial and error down to a pool of options that have a chance of working

Answer 6

if it aint inthe list; ther eis no way it could work :)

Answer 7

or at least no easy way to get it; maybe have to involve square roots then

Answer 8

5x^2 +6x +9

we can generate a pool of options buy factoring last over top

1,3,9
-----
1,5

Answer 9

but here, though +1, -1 are possible roots, we can trail and error with these, and what works best.

Answer 10

so our roots can be:

1,3,9,1/5, 3/5, 9/5 +-

Answer 11

It requires me to show the work does this look right? (x+1)^2 x+1=0 x=0 x+1=0 x=-1 answer -1

Answer 12

that doesnt look lke it applies to your question

Answer 13

your problem says to generate the pool options:

1
(+-) -- ; generates 2 option for us, 1 and -1
1

Answer 14

a friend was trying to help me and I wasn't sure

Answer 15

then you try and error your way thru it:

when x = 1; we try to use (x-1) as a factor; divide it thru to see

Answer 16

or synthetic divide it for a quicker result

Answer 17

my other problems require testing synthetically possibilities

Answer 18

so the way you show it is how I should write it?

Answer 19

synthetic is the same concept as long division; but neater

Answer 20

yes; find the rational root options by:

last# factors
(+-) -----------
first# factors

Answer 21

then you pull out all the numbers that these make....

Answer 22

this is a course that I probable should have taken in a classroom setting I had to take it through an independent program for high school in order to graduate next month