How can one know the polynome equation based on the output of a system?

1. How do you identify a polynomial equation?
2. How did you determine the polynomial function?
3. How do you identify a polynomial function on a graph?

How do you identify a polynomial equation?

For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

How did you determine the polynomial function?

A polynomial is a function of the form f(x) = anxn + an−1xn−1 + ... + a2x2 + a1x + a0 . The degree of a polynomial is the highest power of x in its expression. Constant (non-zero) polynomials, linear polynomials, quadratics, cubics and quartics are polynomials of degree 0, 1, 2 , 3 and 4 respectively.

How do you identify a polynomial function on a graph?

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is no greater than the degree of the polynomial function.