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Mathematics 18 Online
OpenStudy (anonymous):

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms

OpenStudy (amistre64):

which polynomial are we looking at?

OpenStudy (anonymous):

\[1. 2-11x^2-8x+6x^2\]

OpenStudy (anonymous):

thats a 2 NOT a 1.2 srry

myininaya (myininaya):

degree is 2

OpenStudy (amistre64):

we combine all the like terms together, do you know how to do that?

OpenStudy (anonymous):

for the most part

OpenStudy (anonymous):

lemme try and u tell me if i got it

OpenStudy (amistre64):

ok :)

OpenStudy (anonymous):

16x^4+8x+2?

myininaya (myininaya):

x^4?

OpenStudy (amistre64):

close...close....

myininaya (myininaya):

positive 8?

OpenStudy (amistre64):

6x^2 -11x^2 -8x +2

OpenStudy (amistre64):

-5x^2 -8x +2 would be the gooder form :)

OpenStudy (amistre64):

how many terms do we see? a term is everything between a + or a - sign...

OpenStudy (anonymous):

i hate matthe

OpenStudy (anonymous):

4?

OpenStudy (amistre64):

im probably not being clear enough, but that was a good guess :)

OpenStudy (amistre64):

-5x^2 <- 1 term -8x <- 1 term +2 <- 1 term how many terms are there?

OpenStudy (anonymous):

3

OpenStudy (anonymous):

oh you ment in the simplified 1.. ohhh 0-0

OpenStudy (amistre64):

3 is the number of wheels on a tricycle... this is a trinomial

OpenStudy (anonymous):

yes.. the part that gets me is the math and

OpenStudy (anonymous):

if its a quad or cubic

OpenStudy (amistre64):

what is the highest number exponent you see in the our trinomial?

OpenStudy (anonymous):

2

OpenStudy (amistre64):

then the degree is 2 :) thats all there is to that... and quadratic is just a fancy latin name for "we squared it" which means it has a 2 degree.

OpenStudy (anonymous):

so cubed would be?

OpenStudy (amistre64):

a cube is 3 diminsional... so a degree of 3

OpenStudy (anonymous):

power of 2 is squared. cubed is power of 3.

OpenStudy (anonymous):

ok thanks thats simple enough 0-0

OpenStudy (anonymous):

And when they want the degree you just find the term with the largest exponent. The exponent is the degree of the polynomial.

OpenStudy (amistre64):

try this one: 4x^5 +5x -2 how many terms are there?

OpenStudy (anonymous):

3

OpenStudy (amistre64):

very good :) and 3 is a tri...??

OpenStudy (anonymous):

YEASH )-)

OpenStudy (anonymous):

So what kind of polynomial is it?

OpenStudy (anonymous):

trinomial

OpenStudy (amistre64):

yay!!

OpenStudy (anonymous):

with degree of?

OpenStudy (amistre64):

and its degree is?

OpenStudy (anonymous):

5

OpenStudy (anonymous):

Yep.

OpenStudy (amistre64):

hoorah!!

OpenStudy (anonymous):

can you two be mah math teacher???

OpenStudy (anonymous):

Try this one on for size. 3(x+2) + x^2(x-4) + 5x

OpenStudy (amistre64):

lol.... :)

OpenStudy (anonymous):

NOOOO. it looks like it has been distributed?

OpenStudy (anonymous):

It needs some distribution and some combining of terms yes.

OpenStudy (amistre64):

way to burst a bubble lol ;)

OpenStudy (anonymous):

IKR. i dont need that now

OpenStudy (anonymous):

Well he wanted me to be his math teacher.. that's what he gets! ;p

OpenStudy (amistre64):

LOL!!

OpenStudy (anonymous):

It's very easy to distribute. You'll be surprised at how fast it is. Give it a try.

OpenStudy (anonymous):

I'll do the first distribution for you. 3(x+2) = 3x+6

OpenStudy (anonymous):

noo. that is unnesesary (fail spelling) work for me :(

OpenStudy (anonymous):

No, it's good practice.

OpenStudy (anonymous):

If you practice you can do it easily.

OpenStudy (anonymous):

good practice is the worksheet i need to do

OpenStudy (anonymous):

Ok, then do your other homework, then come back and do it ;p

OpenStudy (anonymous):

lol well help meh still pls :)

OpenStudy (anonymous):

Of course.

OpenStudy (anonymous):

Find the degree of the monomial. 6x^8y^5

OpenStudy (anonymous):

it would be 8

OpenStudy (anonymous):

right.

myininaya (myininaya):

13

OpenStudy (anonymous):

if a term has more than one variable you have to add the exponents.

OpenStudy (anonymous):

go away myininaya. you not mah teacher. :P

OpenStudy (anonymous):

oohk

OpenStudy (anonymous):

so 13

OpenStudy (anonymous):

Yep

OpenStudy (anonymous):

aaaalrighty then

OpenStudy (anonymous):

moar

OpenStudy (anonymous):

Write the polynomial in standard form 4g-g^3+3g^2-2

OpenStudy (anonymous):

just combine terms?

OpenStudy (anonymous):

There are no terms there you can combine. They all have different degrees

OpenStudy (anonymous):

So you just have to put them in order from highest degree to lowest.

OpenStudy (anonymous):

Each term has a degree, and the degree of the polynomial is the highest degree of all of the terms

OpenStudy (anonymous):

Standard form means that all like terms are combined, and the terms are in order of degree from highest to lowest.

OpenStudy (anonymous):

lemme try it

OpenStudy (anonymous):

-g^3+3g^2+4g+-2?

OpenStudy (anonymous):

??

OpenStudy (anonymous):

Yes except +-2 is just -2

OpenStudy (anonymous):

alrighty then

OpenStudy (anonymous):

Match the expression with its name. 6x^3-9x+3

OpenStudy (anonymous):

cubic tri???

myininaya (myininaya):

i will go away

OpenStudy (anonymous):

trinomial yes.

OpenStudy (anonymous):

HAY. 1 more paper 7 questions?

OpenStudy (anonymous):

Goes quick when you know what you're doing doesn't it ;p

OpenStudy (anonymous):

nvm

OpenStudy (anonymous):

You're done?

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