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chicagochica5
Group Title
Is the difference of two polynomials always a polynomial? Explain.
 2 years ago
 2 years ago
chicagochica5 Group Title
Is the difference of two polynomials always a polynomial? Explain.
 2 years ago
 2 years ago

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

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

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

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

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

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

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

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

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

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

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

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

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

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
even \(f(x)=0\) is a polynomial
 2 years ago
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