Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
chicagochica5
Group Title
Is the difference of two polynomials always a polynomial? Explain.
 one year ago
 one year ago
chicagochica5 Group Title
Is the difference of two polynomials always a polynomial? Explain.
 one year ago
 one year ago

This Question is Closed

gjhfdfg Group TitleBest ResponseYou've already chosen the best response.0
Not always,
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.2
no a term could cancel out
 one year ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.1
yes it is.
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.2
the differance is subtraction like 3x6  4x+6
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.2
poly means more than one otherwise it is a monomial
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.2
what do you think @helder_edwin
 one year ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.1
yes. but monomials are only a particular case of polynomials.
 one year ago

chicagochica5 Group TitleBest ResponseYou've already chosen the best response.0
so what would the answer be
 one year ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.1
if q(x) is polynomial, is q(x) still a polynomial?
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.2
A polynomial in one variable (i.e., a univariate polynomial) with constant coefficients is given by (1) The individual summands with the coefficients (usually) included are called monomials
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.2
so yes it still is a polynomial you are correct @helder_edwin
 one year ago

chicagochica5 Group TitleBest ResponseYou've already chosen the best response.0
yes its still a polynomial because....
 one year ago

chicagochica5 Group TitleBest ResponseYou've already chosen the best response.0
@UnkleRhaukus can you help please?
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
A polynomial is a number or algebraic expression with no variables having fractional or negative exponents.
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
So 5  2 = 3 is a difference of two polynomials yielding another polynomial. There shouldn't be any way to subtract polynomials and get something that is not a polynomial.
 one year ago

chicagochica5 Group TitleBest ResponseYou've already chosen the best response.0
@CliffSedge so for the answer i write, Yes the difference of two polynomials are always polynomials. Because why
 one year ago

chicagochica5 Group TitleBest ResponseYou've already chosen the best response.0
@hartnn can you help please
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
the difference of two polynomials are always polynomials. Because there is no way to subtract polynomials and get something that is not a polynomial.
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
In more detail: Since the only way for a polynomial to become not a polynomial is if you took a root of a variable or divided by a variable, and that won't happen if all you're doing is subtracting.
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
even \(f(x)=0\) is a polynomial
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.