Question

9-6a-24a^2

Do I have to rearrange this?

Answer 1

It's a factoring question.

Answer 2

oh. yeah
-(24a^2+6a-9)
take out the common factor 3
-3(8a^2+2a-3)
so this is a "hard factoring problem"

Answer 3

try... 2 and 4 for a, and -3 and 1 for the constant.

Answer 4

I'm really confused by this. Would appreciate greatly any help. :-)

Answer 5

-3(2a-1)(4a+3)

Answer 6

I'm a bit confused about what you did, hedgepig. Perhaps I need to review your text for a bit. If you could, please do stay. :-)

Answer 7

Okay, so what is the way to figure out the order?

Answer 8

first, you want to factor out the largest constant.

Answer 9

What comes first? A, AB, or B? This is just in general.

Answer 10

Is a squared before a?

Answer 11

9-6a-24a^2
factor out the largest number you can first.

Answer 12

Yes, but I guess I just need to know, in general, the rule for how you order things. Because, I have more problems, of course.

Answer 13

So, it's just, if you wouldn't mind, I'd like to know how to properly order this trinomials.

Answer 14

It's so important.

Answer 15

there are multiple ways to process this, but, we can do that too. Order from highest degree to lowest.

Answer 16

But I don't what's highest. Is a^2 higher or lower than a?

Answer 17

is it? what is the degree of a^2?

Answer 18

a^2 is a x a, but I don't know whether it would come before or after a.

Answer 19

If I were to guess, I would say after.

Answer 20

I would say a exponents, followed by B. I would guess ab would come before B, too.

Answer 21

from what I gather you're missing knowledge from polynomials and terminology. Do you what the degree of a term is?

Answer 22

Unfortunately, I am not very knowledgeable on the terminology.

Answer 23

Ok. You NEED to know this stuff. that being said, it shouldn't be too hard.
let's do some examples:
6x^3
23x^5
x^3
8x
9
-5x^2

identify the degree of each term.

Answer 24

I would guess the degree is the exponent.

Answer 25

yes.

Answer 26

So, degrees are synonymous with exponents?

Answer 27

no.

Answer 28

what we are referring to is, as far as I can tell, a specific realm - the realm of polynomials.

Answer 29

to answer your question, yes, degree is synonymous with exponents in the context of polynomials, but I am not sure I would say x^(-pi) would have degree -pi.

Answer 30

Okay.

Answer 31

In the poly and trinomial universe, degrees and exponents are the same thing.

Answer 32

That's the universe my head is in right now. :P

Answer 33

that's not a problem in this context, but I would really advise you think broader than this if you want success mathematically.

Answer 34

Now, I really do need to know how to order these trinomials, because they're giving them to me out of order. If I can understand how the order works, it should be easy.

Answer 35

i already gave you the answer to this - you order them from highest degree to lowest.

Answer 36

The problem is, I genuinely do not know what the highest degree is. I don't.

Answer 37

note that for expression x^4 y^2 z^7 the degree is 4+2+7=13

Answer 38

Yes. That is, again, why i told you to identify the degree of each term.

Answer 39

6x^3
23x^5
x^3
8x
9
-5x^2

Answer 40

9-6a-24a^2

Answer 41

So, 24a^2 is first

Answer 42

of what degree? and you forgot a minus sign.

Answer 43

The other two don't have a degree, though.

Answer 44

Yes, my bad.

Answer 45

I don't understand why you keep ignoring me.
Identify the degree of each term
6x^3
23x^5
x^3
8x
9
-5x^2

Answer 46

The degree is the 2.

Answer 47

I'm sorry, I'm not trying to ignore you.

Answer 48

The degree isn't the 2 in that case. The degree IS 2.