anonymous
  • anonymous
WILL FAN AND MEDAL!! I NEED HELP WITH DIVIDING POLYNOMIALS.
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
HELP PLEASE AND I NEED EXPLANATIONS

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jim_thompson5910
  • jim_thompson5910
Rule: \[\LARGE \frac{x^a}{x^b} = x^{a-b}\] so when we divide two exponential expressions with the same base, you subtract the exponents
jim_thompson5910
  • jim_thompson5910
example \[\LARGE \frac{x^9}{x^4} = x^{9-4}=x^5\]
anonymous
  • anonymous
I GOT 1 AND 2. what about the rest?
jim_thompson5910
  • jim_thompson5910
the rule also allows the base to be a number (instead of a letter) example: \[\LARGE \frac{7^8}{7^3} = 7^{8-3}=7^5 = 16,807\] notice how I made x = 7 be the base
jim_thompson5910
  • jim_thompson5910
Another rule to memorize or write down: \[\Large x^0 = 1\] where x is any number but zero
anonymous
  • anonymous
alright so that covers number 4. what about #3 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
how far did you get with #3?
jim_thompson5910
  • jim_thompson5910
you'll use the rule I've mentioned above
anonymous
  • anonymous
i wasnt sure how to do it
anonymous
  • anonymous
which
jim_thompson5910
  • jim_thompson5910
tbh I can barely see it since it's so small
anonymous
  • anonymous
anonymous
  • anonymous
is it -16?
jim_thompson5910
  • jim_thompson5910
what do you get when you subtract the exponents?
anonymous
  • anonymous
4^-2
anonymous
  • anonymous
then i got -16
jim_thompson5910
  • jim_thompson5910
4^(-2) is not equal to -16
jim_thompson5910
  • jim_thompson5910
another rule \[\LARGE x^{-k} = \frac{1}{x^k}\]
anonymous
  • anonymous
oohh
anonymous
  • anonymous
i got everything else except 7 and 8
jim_thompson5910
  • jim_thompson5910
so using that rule gives us... \[\LARGE 4^{-2} = \frac{1}{4^2} = \frac{1}{16}\]
jim_thompson5910
  • jim_thompson5910
post each of those individually
anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
for #7, you will multiply the outer term (4a) by each of the inner terms. Then you add up those products.
jim_thompson5910
  • jim_thompson5910
#8 you can use the FOIL rule, but I prefer this visual table method |dw:1432857540600:dw|
anonymous
  • anonymous
so its c?
jim_thompson5910
  • jim_thompson5910
you would fill out the table by multiplying the headers example: 3y times 2y = 6y^2 |dw:1432857602213:dw|
jim_thompson5910
  • jim_thompson5910
do the same for the other table cells then add up each expression in each of the cells (combine like terms if possible)
anonymous
  • anonymous
so is it b or c?
anonymous
  • anonymous
i think B
anonymous
  • anonymous
for 7
jim_thompson5910
  • jim_thompson5910
yeah B
anonymous
  • anonymous
im a little confused on 8
jim_thompson5910
  • jim_thompson5910
do you see how to fill out the table?
anonymous
  • anonymous
yea
anonymous
  • anonymous
what do i do with the information
jim_thompson5910
  • jim_thompson5910
show me the filled out table (click the pencil on my drawing. Draw in the expressions that would complete the table)
anonymous
  • anonymous
|dw:1432857959975:dw|
anonymous
  • anonymous
During the American Civil War the Union and the Confederacy both had advantages. The Union had _____________________ while the Confederacy had ______________________. A. Money & population; Leadership & familiar land B. More experienced officers; More railroad & telegraph lines C. Stronger air force; Stronger navy D. The Force; The Dark Side
jim_thompson5910
  • jim_thompson5910
very good @Kitten021815
jim_thompson5910
  • jim_thompson5910
notice how the -4y and -9y are like terms, so they combine to -4y + (-9y) = -13y
jim_thompson5910
  • jim_thompson5910
|dw:1432858043715:dw|
anonymous
  • anonymous
thanks so much
jim_thompson5910
  • jim_thompson5910
|dw:1432858070838:dw|