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Is the difference of two polynomials always a polynomial? Explain.
 one year ago
 one year ago
Is the difference of two polynomials always a polynomial? Explain.
 one year ago
 one year ago

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

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

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

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

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

chicagochica5Best ResponseYou've already chosen the best response.0
so what would the answer be
 one year ago

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

DecartBest 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

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

chicagochica5Best ResponseYou've already chosen the best response.0
yes its still a polynomial because....
 one year ago

chicagochica5Best ResponseYou've already chosen the best response.0
@UnkleRhaukus can you help please?
 one year ago

CliffSedgeBest 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

CliffSedgeBest 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

chicagochica5Best 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

chicagochica5Best ResponseYou've already chosen the best response.0
@hartnn can you help please
 one year ago

hartnnBest 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

CliffSedgeBest 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

UnkleRhaukusBest ResponseYou've already chosen the best response.0
even \(f(x)=0\) is a polynomial
 one year ago
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