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

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

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

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

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

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

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

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

Decart
 2 years ago
Best ResponseYou've already chosen the best response.2A 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

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

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

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

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1A polynomial is a number or algebraic expression with no variables having fractional or negative exponents.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1So 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.

chicagochica5
 2 years ago
Best 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

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

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

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1In 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.

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