Q: Can a polynomial have a negative exponent?

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The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).

The Degree (for a polynomial with one variable, like x) is the largest exponent of that variable.

A negative exponent is the reciprocal of the corresponding positive exponent. 102 = 100 10-2 = 1/100

No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.

A negative exponent implies a reciprocal.Thus x^-a = 1/x^a or, equivalently, (1/x)^a

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An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand

A polynomial has 2 or more variables. It can also have a negative exponent and a fractional exponent. It's different from a monomial.****BrandonW****

Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.

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the largest exponent of a polynomial is 2 good luck on NovaNet peoples

Not necessarily. If the exponent is not an integer then it is not a polynomial.

That varies from polynomial to polynomial. Whatever the highest exponent is is called the "degree", so a quadratic like x2 + 2x + 8 has degree 2.

The degree of a polynomial is the highest exponent on any independent variable in the polynomial.

No. An expression can have a variable exponent (for instance, 2 to the power x, or x to the power y), but that is no longer a polynomial.

The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).

The degree of a polynomial is the highest exponent in the polynomial.

highest total of the exponents