Question

I have an algebra question! The question is in a file so its below this. (I'll fan and medal.)

Answer 1

and heres the question.

Answer 2

And what do you think the answer is and why?

Answer 3

I know it has 5 terms, and that the leading coefficient isn't 2. I'm not sure on anything farther than that. @Bobo-i-bo

Answer 4

There are five statements about this poly, some of which are true and some false.
If you'd go through these five statements, one by one, and explain your choice and the reasoning behind it, I'd be glad to respond.

Important: You might want to look up "degree of a polynomial" and "order of a polynomial"

Answer 5

True- the polynomial has 5 terms.

False- the leading coefficient is -2

False- the degree of the polynomial is 7

True- the constant term is 4

False- the polynomial is in decreasing degree order

@mathmale

Answer 6

@daisydallon are you able to determine the leading term, leading coefficient and degree of this polynomial?

Answer 7

@jim_thompson5910 I'm trying to, but I'm so confused with the information I'm getting from my research.

Answer 8

do you agree that `-2xy^5` is the same as `-2x^1y^5` ?

Answer 9

yes. @jim_thompson5910

Answer 10

so the degree of `-2x^1y^5` is equal to 6. I added the exponents 1+5 = 6

Answer 11

what is the degree of 3x^7 ?

Answer 12

7? @jim_thompson5910

Answer 13

good, how about the next term

Answer 14

9 and then 6 and then 1? @jim_thompson5910

Answer 15

the constant term 4 is really 4x^0. So the degree of the last term is 0

Answer 16

-10x^3y^6 has a degree of 9, the largest degree compared to the other monomials. So that means the overall degree of the polynomial is 9

since -10x^3y^6 has the largest degree, this makes -10x^3y^6 the leading term with -10 being the leading coefficient

Answer 17

So it goes-
True
False
True
True
False? @jim_thompson5910

Answer 18

the degree of the polynomial is 9 (not 7)

Answer 19

9 is the largest degree of the monomials, which is why it's the overall degree of the polynomial

Answer 20

Alright- so
True
False
False
True
False?
Sorry this is taking so long- I want it to be perfect and I want to understand what I'm doing. @jim_thompson5910

Answer 21

yep you nailed every true/false correctly

Answer 22

Thank you so much! I'll medal and fan now. @jim_thompson5910

Answer 23

you're welcome