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

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- amistre64

which polynomial are we looking at?

- anonymous

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

- anonymous

thats a 2 NOT a 1.2 srry

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## More answers

- myininaya

degree is 2

- amistre64

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

- anonymous

for the most part

- anonymous

lemme try and u tell me if i got it

- amistre64

ok :)

- anonymous

16x^4+8x+2?

- myininaya

x^4?

- amistre64

close...close....

- myininaya

positive 8?

- amistre64

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

- amistre64

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

- amistre64

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

- anonymous

i hate matthe

- anonymous

4?

- amistre64

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

- amistre64

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

- anonymous

3

- anonymous

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

- amistre64

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

- anonymous

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

- anonymous

if its a quad or cubic

- amistre64

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

- anonymous

2

- 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.

- anonymous

so cubed would be?

- amistre64

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

- anonymous

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

- anonymous

ok thanks thats simple enough 0-0

- anonymous

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

- amistre64

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

- anonymous

3

- amistre64

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

- anonymous

YEASH )-)

- anonymous

So what kind of polynomial is it?

- anonymous

trinomial

- amistre64

yay!!

- anonymous

with degree of?

- amistre64

and its degree is?

- anonymous

5

- anonymous

Yep.

- amistre64

hoorah!!

- anonymous

can you two be mah math teacher???

- anonymous

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

- amistre64

lol.... :)

- anonymous

NOOOO. it looks like it has been distributed?

- anonymous

It needs some distribution and some combining of terms yes.

- amistre64

way to burst a bubble lol ;)

- anonymous

IKR. i dont need that now

- anonymous

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

- amistre64

LOL!!

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

No, it's good practice.

- anonymous

If you practice you can do it easily.

- anonymous

good practice is the worksheet i need to do

- anonymous

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

- anonymous

lol well help meh still pls :)

- anonymous

Of course.

- anonymous

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

- anonymous

it would be 8

- anonymous

right.

- myininaya

13

- anonymous

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

- anonymous

go away myininaya. you not mah teacher. :P

- anonymous

oohk

- anonymous

so 13

- anonymous

Yep

- anonymous

aaaalrighty then

- anonymous

moar

- anonymous

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

- anonymous

just combine terms?

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

lemme try it

- anonymous

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

- anonymous

??

- anonymous

Yes except +-2 is just -2

- anonymous

alrighty then

- anonymous

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

- anonymous

cubic tri???

- myininaya

i will go away

- anonymous

trinomial yes.

- anonymous

HAY. 1 more paper 7 questions?

- anonymous

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

- anonymous

nvm

- anonymous

You're done?

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