Question

Can someone check my answers? Naming polynomials

Answer 1

x^3 + 2x^2 + 4x − 7: quintic polynomial with four terms

3x^2 + 5x – 4: quartic trinomial

- 4x^3 + 5x^3: (this one I don't know)

4x^4 + 8x^2 − 3x + 1: quintic polynomial with our terms

Answer 2

@phi can you help?

Answer 3

@austinL?

Answer 4

to do this you need to know your Latin, specifically the numbers.

Answer 5

Okay? I don't know any latin.. This is algebra 2 stuff

Answer 6

the equations are labeled according to the biggest exponent:
linear variable x's biggest (and only) exponent is 1. example 2x +1
quadratic x^2 + 2x +3
cubic 2x^3 + x^2 -6x + 9
quartic (now it's Latin, for 4) x^4 + x^3 ....
quintic x^5+ ....

Answer 7

Oh, that makes more sense! Thank you!

Answer 8

- 4x^3 + 5x^3 <--- this one is strange. if you have the same exponent, you should combine it to get 1x^3 or just x^3
But if that is what it really is, it is a cubic

Answer 9

because you just add the coefficients and you get one number because the exponents are the same?

Answer 10

yes

Answer 11

okay, so let m see:

x^3 + 2x^2 + 4x − 7: Cubic

3x^2 + 5x – 4: quadratic

- 4x^3 + 5x^3: Cubic?

4x^4 + 8x^2 − 3x + 1: Cubic

Answer 12

the last one has a biggest exponent of 4. quartic.

Answer 13

Oh! okay, I understand that now! Thank you so much!

Answer 14

Here is a list of the names
https://en.wikipedia.org/wiki/Degree_of_a_polynomial#Names_of_polynomials_by_degree

you can also add how many terms, using
monomial (1 term)
binomial (2 terms)
trinomial (3 terms)
after that, I don't think people bother saying how many terms

Answer 15

Awesome! That will definitely help in the future!