Question

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

Answer 1

HELP PLEASE AND I NEED EXPLANATIONS

Answer 2

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

Answer 3

example

\[\LARGE \frac{x^9}{x^4} = x^{9-4}=x^5\]

Answer 4

I GOT 1 AND 2. what about the rest?

Answer 5

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

Answer 6

Another rule to memorize or write down:

\[\Large x^0 = 1\]

where x is any number but zero

Answer 7

alright so that covers number 4. what about #3 @jim_thompson5910

Answer 8

how far did you get with #3?

Answer 9

you'll use the rule I've mentioned above

Answer 10

i wasnt sure how to do it

Answer 11

which

Answer 12

tbh I can barely see it since it's so small

Answer 13

is it -16?

Answer 14

what do you get when you subtract the exponents?

Answer 15

4^-2

Answer 16

then i got -16

Answer 17

4^(-2) is not equal to -16

Answer 18

another rule

\[\LARGE x^{-k} = \frac{1}{x^k}\]

Answer 19

oohh

Answer 20

i got everything else except 7 and 8

Answer 21

so using that rule gives us...

\[\LARGE 4^{-2} = \frac{1}{4^2} = \frac{1}{16}\]

Answer 22

post each of those individually

Answer 23

for #7, you will multiply the outer term (4a) by each of the inner terms. Then you add up those products.

Answer 24

#8 you can use the FOIL rule, but I prefer this visual table method