Doing A Test Review To help prepare for a test on wens, and alot of the questions are giving me trouble.
This one in specific is confusing me
Anyone able to help me?
#Need Help - College Algebra
surreal path
gleaming currentBOT
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surreal path
Ive gotten this fair but i cant seem to figure out what happens next after the synthetic division
open epoch
Ive gotten this fair but i cant seem to figure out what happens next after the s...
the numbers you to the left of the bar represent the coefficients of the quotient polynomial (in descending order of degree), and the number to the right is the remainder
surreal path
the numbers you to the left of the bar represent the coefficients of the quotien...
could you please explain that a little better, still a bit confused
open epoch
could you please explain that a little better, still a bit confused
sure, when you divide a polynomial by a linear factor, the degree of the quotient is reduced by one, relative to the original polynomial. so the coefficient furthest to the left of the bar will be the coefficient of the x^3 term
because the original polynomial is of degree 4
so you have 2x^3 as the first term of the quotient
surreal path
ok ok
open epoch
likewise, the next number is going to be the coefficient of the x^2 term, and so on
down to the x^0 term
or constant term, if you will
surreal path
oh so turn the bottom answers into a equation pretty much
open epoch
the number to the right of the bar will be the remainder 
surreal path
like 2x^3-1x^2+3x-11
open epoch
oh so turn the bottom answers into a equation pretty much
the bottom numbers are the coefficients of the quotient yes
open epoch
like 2x^3-1x^2+3x-11
exactly!
surreal path
ohhhhh ok
surreal path
oh ok
open epoch
the remainder of the division is 25 
open epoch
the standard way to write it is as follows:
$$p(x) = Q(x) q(x) + R(x)$$
exotic egretBOT
higher!
surreal path
hmm ok
open epoch
where p(x) is the dividend, q(x) is the divisor, Q(x) is the quotient, and R(x) is the remainder
surreal path
can you give me aexample using random numbers cause thats kind of confusing. 
open epoch
notice that if R(x) = 0, then this just becomes p(x) = Q(x) q(x), or p(x)/q(x) = Q(x)!
surreal path
ok ok
open epoch
can you give me aexample using random numbers cause thats kind of confusing. <:n...
I shall steal one from the internet
surreal path
bet
open epoch
p(x) = x^4 + x^3 + x^2 + x + 1
q(x) = x^2 - 1
Q(x) = x^2 + x + 2
R(x) = 2x + 3
surreal path
ok ok
open epoch
then x^4 + x^3 + x^2 + x + 1 = (x^2 + x + 2)(x^2 - 1) + (2x + 3)
this is the form p(x) = Q(x)q(x) + R(x)
you can expand the RHS to confirm this for yourself
surreal path
alright bet, i think i got it now
open epoch
surreal path
Preciate the help. 
open epoch
no worries, you may close the channel if you have no more questions 