Can anyone help me understand Polynomials, trinomials, and binomials??? My lesson makes NO sense!

Question

anonymous · Answer

do you have a particular question?

anonymous · Answer

Well, i'm taking Alg. 1 online this summer, to get ahead in school, and the assignment is all about Polynomials, etc...  So i can give you one... But i just don't understand it... haha...
 Choose the correct classification of 2x + 10x2 − x3 by number of terms and by degree.
 	
	Third degree trinomial
	Fourth degree trinomial
	Sixth degree polynomial
	First degree binomial

anonymous · Answer

this one is a third degree trinomial. Why you ask. B/c is has three terms, that is 2x, 10x^2, and x^3. The reason it is third degree is because

anonymous · Answer

the largest exponent is x^3

anonymous · Answer

Binomial: Two Terms -> x+5
Trinomial: Three Terms -> x^2 + x + 5
Polynomial: Many Terms -> x^5 + x^4 + x^3 + 2x^2 + 5

anonymous · Answer

look it up on khan academy if you have time. they have an excellent tutorial

anonymous · Answer

the degree refers to the highest exponent on a variable.
the prefix then -nomial refers to amount of terms
binomial is 2
trinomial is 3
etc

anonymous · Answer

Thank You everyone!!! I aced the assignment! :)