what is the difference between a polynomial and a binomial

Question

mathstudent55 · Answer

mono- means one
bi- means two
tri- means three
poly- means many

doc.brown · Answer

What's the difference between crocodiles and alligators?

mathstudent55 · Answer

That may be a biology question, not math.

doc.brown · Answer

It's the answer to the question.

anonymous · Answer

i dot know the the queston

doc.brown · Answer

Alligators are crocodiles.
Binomials are polynomials.

mathstudent55 · Answer

A term is a number followed by no variable or one or more variables.
A sum of two terms is a binomial. 
A sum of three terms is a trinomial.
One single term is a monomial.
A polynomial is a sum of many terms, but the expression polynomial is also used in general to mean a expression of any number of terms, perhaps with the exception of only one term.

doc.brown · Answer

It's like how a bicycle has two wheels.  A unicycle has one, a tricycle has three.
If you owned all three, you could say you owned 3 polycycles.

doc.brown · Answer

You're right, @mathstudent55.  It should be called a monocycle.

anonymous · Answer

lol

anonymous · Answer

how do u write a polynomial in standard form

doc.brown · Answer

$$a_nx^n+a_{n-1}x^{n-1}+...+a_2x^2+a_1x+a_0$$

doc.brown · Answer

I started out here with a bunch of different numbers I called $a$.
I wrote the letter $a$ and put a little number below it so I could tell them apart.  I started with $a_0$ then went to $a_1$ then $a_2$... I keep going until you tell me to stop at any number, I called it $n$ for "any".

doc.brown · Answer

Say you give me one number. the number 4. I pop it into the standard form at $a_0$ and I get a polynomial equal to 4$$a_0=4$$$$P=a_0$$$$P=4$$

doc.brown · Answer

Say you give me two numbers, 4 and 8.  In they go:$$a_0=4, a_1=8$$$$P=a_1x+a_0$$$$P=8x+4$$

anonymous · Answer

thanks alot for helping me

doc.brown · Answer

Three numbers 4, 8, and 5$$a_0=4,a_1=8,a_2=5$$$$P=a_2x^2+a_1x+a_0$$$$P=5x^2+8x+4$$
You can keep doing this until the end of time and still stick more numbers on.

anonymous · Answer

Binomial = 2 terms
Polynomial = 4 or more terms

anonymous · Answer

Binomial Example: 2x + 3
Polynomial Example: 2x^3 + 3x^2 + 7x + 5x + 6

anonymous · Answer

thank for the help

anonymous · Answer

Np :)

anonymous · Answer

Btw, terms are seperated by + and - signs.

anonymous · Answer

Polynomial - n expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).


Binomial- an algebraic expression of the sum or the difference of two terms

karategirl2002 · Answer

This is actually a good question :)
A binomial and a trinomial are two different types of polynomials but they are both polynomials. Confusing, right? Well, a binomial is a polynomial that consists of two terms (bi means two). Ex: 3x+2.
And a trinomial is a polynomial that consists of three terms (tri means three). Ex: 3x^2+2x+1 (The ^ means to the power of)
Hope this helps :)

karategirl2002 · Answer

my math

anonymous · Answer

thank for the web site

karategirl2002 · Answer

np

amistre64 · Answer

poly is not 4 or more ...