WILL FAN AND MEDAL!! I NEED HELP WITH DIVIDING POLYNOMIALS.

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WILL FAN AND MEDAL!! I NEED HELP WITH DIVIDING POLYNOMIALS.

Mathematics
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HELP PLEASE AND I NEED EXPLANATIONS

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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
example \[\LARGE \frac{x^9}{x^4} = x^{9-4}=x^5\]
I GOT 1 AND 2. what about the rest?
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
Another rule to memorize or write down: \[\Large x^0 = 1\] where x is any number but zero
alright so that covers number 4. what about #3 @jim_thompson5910
how far did you get with #3?
you'll use the rule I've mentioned above
i wasnt sure how to do it
which
tbh I can barely see it since it's so small
is it -16?
what do you get when you subtract the exponents?
4^-2
then i got -16
4^(-2) is not equal to -16
another rule \[\LARGE x^{-k} = \frac{1}{x^k}\]
oohh
i got everything else except 7 and 8
so using that rule gives us... \[\LARGE 4^{-2} = \frac{1}{4^2} = \frac{1}{16}\]
post each of those individually
for #7, you will multiply the outer term (4a) by each of the inner terms. Then you add up those products.
#8 you can use the FOIL rule, but I prefer this visual table method |dw:1432857540600:dw|
so its c?
you would fill out the table by multiplying the headers example: 3y times 2y = 6y^2 |dw:1432857602213:dw|
do the same for the other table cells then add up each expression in each of the cells (combine like terms if possible)
so is it b or c?
i think B
for 7
yeah B
im a little confused on 8
do you see how to fill out the table?
yea
what do i do with the information
show me the filled out table (click the pencil on my drawing. Draw in the expressions that would complete the table)
|dw:1432857959975:dw|
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
very good @Kitten021815
notice how the -4y and -9y are like terms, so they combine to -4y + (-9y) = -13y
|dw:1432858043715:dw|
thanks so much
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