-7 + y is a polynomial or not?


Sagot :

Answer:

Not

The expression [math]\tfrac{x}{y}[/math] is not a polynomial because it includes division by a non-constant polynomial. Polynomials in two variables are algebraic expressions consisting of terms in the form of [math]a.x^{m}.y^{n}[/math]. Where m and n is the largest sum possible of the powers.

For example:

[math]x^{2} + y^{-2} - 2[/math]

Here, the maximum possible powers is equal to [math](2)+(2) = 4[/math]. And, here the sum is 0. So, the possible polynomial could be [math]x^{2} + y^{2} - 2[/math]

In Short, the exponents should always be any number from the set[math] Z^{+}[/math], i.e. Positive Integers(like [math]1,2,3,4,….[/math])

Hope, I could clear your doubt. :)

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Not because may negative

To determine a polynomials it must contain no square roots, no variables no fractional or negative powers on the variables, and no variables in the denominators of any fractions.