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chicagochica5

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

  • one year ago
  • one year ago

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  1. gjhfdfg
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    Not always,

    • one year ago
  2. Decart
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    no a term could cancel out

    • one year ago
  3. helder_edwin
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    yes it is.

    • one year ago
  4. Decart
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    the differance is subtraction like 3x-6 - 4x+6

    • one year ago
  5. Decart
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    poly means more than one otherwise it is a monomial

    • one year ago
  6. Decart
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    what do you think @helder_edwin

    • one year ago
  7. helder_edwin
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    yes. but monomials are only a particular case of polynomials.

    • one year ago
  8. chicagochica5
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    so what would the answer be

    • one year ago
  9. helder_edwin
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    if q(x) is polynomial, is -q(x) still a polynomial?

    • one year ago
  10. Decart
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    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
  11. Decart
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    so yes it still is a polynomial you are correct @helder_edwin

    • one year ago
  12. chicagochica5
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    yes its still a polynomial because....

    • one year ago
  13. chicagochica5
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    @UnkleRhaukus can you help please?

    • one year ago
  14. CliffSedge
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    A polynomial is a number or algebraic expression with no variables having fractional or negative exponents.

    • one year ago
  15. CliffSedge
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    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
  16. chicagochica5
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    @CliffSedge so for the answer i write, Yes the difference of two polynomials are always polynomials. Because why

    • one year ago
  17. chicagochica5
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    @hartnn can you help please

    • one year ago
  18. hartnn
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    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
  19. CliffSedge
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    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
  20. UnkleRhaukus
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    even \(f(x)=0\) is a polynomial

    • one year ago
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