Question

Ill give medal for good answer?



Create a unique example of dividing a polynomial by a monomial and provide the simplified form. Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy.

Answer 1

well, giving a medal for a good answer is simply a means of thanking people, its not really a motivation towards blurbing out an answer tho

Answer 2

ok

Answer 3

if you let us know where it is in this that your having issues at, we could help.

Answer 4

otherwise the question is designed to get youto think for yourself

Answer 5

prettymuch the whole thing

Answer 6

Create a unique example of dividing a polynomial by a monomial and provide the simplified form.

do you know the what a poly and a mono are? that would be a start

Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy.

Answer 7

sort of it has to do with the number of exponents and variables right?

Answer 8

yes; moreso, its has to do with the number of terms in an equation (how many add and subtracts there are)

Answer 9

can u give me an example?

Answer 10

so, poly means many; and mono means 1

we want a many termed equation divided by a single termed equation to start out with

Answer 11

3x + 4y -7z = 9 is a poly; theres alot of addition and subtraction

Answer 12

ok

Answer 13

5abc is a mono in that there is absolutely no addition or subtraction going on

Answer 14

ok

Answer 15

so for this question; give me your favorite poly and your favorite mono :)

Answer 16

i guess a mono could be 7ab^2 + 5c - 4b^2?

Answer 17

i think its a mono

Answer 18

thats a poly; since there is alot of adding and subtracting going on between terms. but we can use it

Answer 19

ok
and amono could be 6ab?

Answer 20

perfect :)

Answer 21

to create the division of poly/mono we just:
\[\frac{ 7ab^2 + 5c - 4b^2}{6ab}\]

Answer 22

then it said i need the simplified form and then two ways used to simplifty

Answer 23

yeah, that part is a bit vague to me; the simplified form might be when we split the top and reduce tho ....

Answer 24

then a way that i would check my quotient for accuracy

Answer 25

dang dude how much u typing...

Answer 26

\[\frac{ 7ab^2 + 5c - 4b^2}{6ab}\to \ \frac{ 7ab^2}{6ab} + \frac{5c}{6ab} - \frac{4b^2}{6ab}\]

\[\frac{ 7abb}{6ab} + \frac{5c}{6ab} - \frac{4bb}{6ab}\]
\[\frac{ 7\cancel{a}b\cancel{b}}{6\cancel{a}\cancel{b}} + \frac{5c}{6ab} - \frac{4b\cancel{b}}{6a\cancel{b}}\]
\[\frac{7b}{6} + \frac{5c}{6ab} - \frac{4b}{6a}\]

Answer 27

the latex coding is tedious, but makes it prettier :)

Answer 28

and the bottom one is the simplified version?

Answer 29

yes, with any luck I typed it up in order

Answer 30

except for 4/6 = 2/3

Answer 31

wait so whats the answer in typing not the latex?

Answer 32

but thats reducing, which might mean simplifying too

Answer 33

in typing its a mess ....

Answer 34

7b/6 + 5c/6ab -2a/3b

maybe

Answer 35

the thing im doing the final product doesnt have any / in it though

Answer 36

it has answers like 2x^2y^3 + 3y

Answer 37

the issue here is that you have material to go by while I have to take a blind stab at it and hope for the best :)

Answer 38

that result there would depend on what they used for poly and mono

Answer 39

your results will differ

Answer 40

one possibility might be in that we do long division on it instead of splitting the numerator

Answer 41

can u help me on last part cause it says i need a way to check it?

Answer 42

latex again?

Answer 43

7b/6 + 5c/6ab -2b/3a
--------------------
6ab ) 7ab^2 +5c -4b^2
(7ab^2)
-------------
0+ 5c
(5c)
-----------
0 - 4b^2
(-4b^2)
---------
0


so yeah, the results are the same

Answer 44

no, just trying to get the ascii in a sensible format lol

Answer 45

i think thats it for that question...

Answer 46

yep, to check you just multiply it back thru to see that it comes back to the original again

Answer 47

alright well thanks for the help :)

Answer 48

yw, and good luck