Question

FAN AND MEDAL!!!!!
Part A: Divide (10x4y3 + 5x3y2 - 15x2y - 25x2y4) by -5x2y. Show your work, and justify each step. (6 points)

Part B: How would your answer in Part A be affected if the x2 variable in the denominator was just an x? (2 points)

Part C: What is the degree and classification of the polynomial you got in Part A? (2 points)

Answer 1

do you know how to do it then?

Answer 2

ok

Answer 3

\[\frac{10x^4y^3 + 5x^3y^2 - 15x^2y - 25x^2y^4}{-5x^2y}\]
is the same as
\[-\frac{10x^4y^3}{5x^2y}-\frac{5x^3y^2}{5x^2y}+\frac{15x^2y}{5x^2y}+\frac{25x^2y^4}{5x^2y}\]
simplify each of these fractions and you should be on your way.

Answer 4

Idk how to do that, thats why im here. Im sorry but what you put there was the only obvious part...:/

Answer 5

you dont need to use the fancy stuff, just using / and ^ works for me and ita alot faster

Answer 6

well, lets take the 1st one:
\[-\frac{10x^4y^3}{5x^2y}\] we look at what variables we have on top and bottom, see if we can cancel anything, including any constants:
\[-\frac{\color{red}{15}\color{blue}{x^4}y^3}{\color{red}{5}\color{blue}{x^2}y}\]

Answer 7

we can cancel the entire bottom and get:
\[-5x^2y^2\]
try and do the other ones.

Answer 8

how did the 10 turn into 15?

Answer 9

cause i wrote it wrong lol

Answer 10

10/5 = 2
so it should be -2x^2y^2

Answer 11

so the second one would be -x^2y^2?

Answer 12

no, it would be -xy

Answer 13

5/5 = 1 constant
3-2 = 1 x power
2-1 = 1 y power

Answer 14

so then so far what we would have would be 2x^2y^2 - xy?

Answer 15

right

Answer 16

well, u dropped a - off the front actually

Answer 17

\(-2x^2y^2-xy\) is where we are now

Answer 18

so then if you add the third part you have -2x^2y^2 - xy + 3x^2y?

Answer 19

no, the 3rd one
\[\frac{15x^2y}{5x^2y}=3\]

Answer 20

then if you add the last one you have -2x^2y^2 - xy + 3 + 5y^4?

Answer 21

5y^3 but yes

Answer 22

then is that the end or do i need to do something else to it?

Answer 23

well, the normal way to write polynomials is to decent in exponential order and to not lead with a negative, so you would rearrange it to
\[5y^3-2x^2y^2-xy+3\]

Answer 24

oh, that makes sence. how do i know what the degree and classification are?

Answer 25

degree is the number of exponents, in this case: 3+2+2+1+1 = 9

Answer 26

so then 9th degree? and is it binomal?

Answer 27

the classification comes from the highest exponent, in this case 3, which is known as a cubic

Answer 28

so trinominal?

Answer 29

yes, but i actually told you wrong on the degree

Answer 30

you look at each term and the one with the highest is the degree of the whole thing

Answer 31

so, its
3
4
2
so its a 4th degree

Answer 32

thank you so much!

Answer 33

no problem!