Occasional Algebra Problem

[Natalie J.]

Re: Daily Algebra Problem

i'm not in college yet

 

[freakworld]

Re: Daily Algebra Problem

is that X^p-1 or (X^p)-1 ?

 

[RandomYoshi]

Re: Daily Algebra Problem

I mean this

.

 

[freakworld]

Re: Daily Algebra Problem

i dont know what Q[X] is supposed to be so

 

[RandomYoshi]

Re: Daily Algebra Problem

Q[X] contains all polynomials with coefficients in Q = {a/b: a, b integers, b ≠ 0}.

 

[freakworld]

Re: Daily Algebra Problem

 

[Toad Eightyfive]

Re: Daily Algebra Problem

i'm in calc 2 in college and i have no clue what you're talking about.

 

[Cirdec]

Re: Daily Algebra Problem

For p a prime, show that the polynomial f(X) = (X^p-1)/(X-1) is irreducible over Q[X].

Eisenstein criteria.

 

[Natalie J.]

Re: Daily Algebra Problem

Let's update this.

pq2r3s + 4(pqrs)2
----------------------
p2qrs2

 

[Andymii]

Re: Daily Algebra Problem

Here's a question I made.


Factor & simplify. (Super easy, if you know how. :P)

2x + 4x^2
_____________

4X^2 - 1



Hint: A^2 - B^2 = (A+B)(A-B)



Answer:

Spoiler

2x
____
2x - 1

Tell me if you get it!

 

[RandomYoshi]

Re: Daily Algebra Problem

 

[Andymii]

Re: Daily Algebra Problem

Yeah, it's pretty simple.

For those still in school, what math level are you guys? I'm a high school freshman taking Algebra 2.

 

[Natalie J.]

Re: Daily Algebra Problem

I'm a high school freshman taking Algebra 1.

 

[Stargazing]

Re: Daily Algebra Problem

there are no different types of math right now, and i'm a freshman

it splits in grade 11

 

[Walkazo]

Re: Daily Algebra Problem

I got up to 1st year calculus in university (got a B-, but most of my marks were lost in the multiple-choice midterm I had to write while suffering from swine flu and major depression: not a good time), but that was the last math credit I needed so I stopped after that, and in the 5 years since then, a lot of my skills have atrophied from lack of use.

 

[RandomYoshi]

Re: Daily Algebra Problem

I am currently taking Nonlinear Optimisation and Galois Theory. Fun stuff, really.

 

[Andymii]

Re: Daily Algebra Problem

I am currently taking Nonlinear Optimisation and Galois Theory. Fun stuff, really.

I can't even guess what that's about, lol.

 

[fantanoice]

Re: Daily Algebra Problem

Engineering Maths 1 in Uni was my highest class (idk what you'd call it in Americanese because it had different types of maths in it). Also gotta self educate myself for any extra stuff I need for work.

 

[Natalie J.]

Re: Daily Algebra Problem

Factor.

5A2 + 20AB + 15A3C

Spoiler: answer

5A(A + 4B + 3A2C)

 

[RandomYoshi]

Re: Daily Algebra Problem

Factorise the following

.

 

[Natalie J.]

Re: Daily Algebra Problem

where are you getting these images?

a(5a2 + a + 10ab + 2b + 5b2 + b2)

E: nope thats not it last term has no a

 

[RandomYoshi]

Re: Daily Algebra Problem

I make them myself by using this. To be able to use it to its fullest extent, one has to have basic knowledge in LaTeX.

Oh, a hint on the problem I posted: there are three terms, not all necessarily different, in the final answer.

 

[Natalie J.]

Re: Daily Algebra Problem

ummm still not sure

 

[Natalie J.]

how about these factoring problems:

3M2 + 2MN - 8N2

A4 - 7A2B - 30B2

4V2 + 6VW + 2W2

 

[Walkazo]

Re: Daily Algebra Problem

Factorise the following

.

Spoiler

(a + b)2(5a + 1)