Question 1188340
here's a reference.


<a href = "https://www.mathsisfun.com/algebra/polynomials.html" target = "_blank">https://www.mathsisfun.com/algebra/polynomials.html</a>


here's a definition from the web:


polynomial: a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (such as a + bx + cx2).


answers to your questions:


y=100 is a polynomial.
keep in mind that 100 is equivalent to 100 * x^0.
the exponent of 0 is allowed because it is not negative.
if you graph this, the graph will be smooth and continuous.
here's the graph.


<img src = "http://theo.x10hosting.com/2021/120204.jpg" >


y=4x^3+5^-6 is a polynomial.
while 5^-6 contains a negative exponent, it is the constant that is raised to the power of the negative exponent, and not a variable.
negative coefficients or constants are allowed.
this equation is equivalent to: y = 4x^3 + 1/15625.
if you graph this, the graph will be smooth and continuous.
here's the graph.


<img src = "http://theo.x10hosting.com/2021/120205.jpg" >


y=0(zero) is a polynomial.
keep in mind that 0 is equivalent to 0 * x^0.
the exponent of 0 is allowed because it is not negative.
if you graph this, the graph will be smooth and continuous.
here's the graph.


<img src = "http://theo.x10hosting.com/2021/120206.jpg" >


take the time to read the reference.
it's pretty good.
take the quiz at the end.
it's not dificult and will reinforce the concepts.


all of the graphs of the equations are in red.