Question

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

Answer 1

@Directrix

Answer 2

is this a simple task in your eyes lol

Answer 3

First, make up a polynomial divided by a monomial.

4xyz² - 2x²y³ + xy
-----------------
xy

Answer 4

Hit it with your best shot.

Answer 5

i should use that one?

Answer 6

Make up your own if you want.

Answer 7

im gonna just use that, but it seems tricy @Directrix

Answer 8

Instructive is how I describe it. It's okay by me if you make up your own.

Answer 9

I think teh challenge is worth it.

Answer 10

where do i take a wack at this first? i feel lost in a big one :D @Directrix

Answer 11

Factor the term (xy) out of all three terms of the numerator.

Answer 12

4xyz² - 2x²y³ + xy
-----------------
xy

4z^2 - 2xy^2

Answer 13

Almost. There are three terms in the numerator. There should be, in this case, three terms in the answer. Divide xy into xy. One xy is in the denominator and the other is in the numerator.

Answer 14

so it stays as xy? 4z^2 -2xy^2+xy ?

Answer 15

No. xy/xy = 1.

The answer is 4z² - 2xy² + 1

Answer 16

okay, I'll keep that in mind.

Answer 17

So, the second way to do it is this:

Reverse D.P.

4xyz² - 2x²y³ + xy xy( 4z² - 2xy² + 1)
----------------- = ----------------- = ( 4z² - 2xy² + 1)
xy xy

Answer 18

For this --> check your quotient,

we would multiply (xy) ( 4z² - 2xy² + 1) to show that we get back to the original problem (4xyz² - 2x²y³ + xy).

Answer 19

same haha , goodnight @Directrix :D its so late again!

Answer 20

Another successful tutoring.

Answer 21

Help me on my question please

Answer 22

alright, sounds good @Directrix take care. :)

Answer 23

@Dailyinquirer12313213 which would that be?