SOLUTION: Analyze whether the following is a polynomial function or not. Write it's degree if its polynomial. y=100 y=4x^3+5^-6 y=0(zero)

Question 1188340: Analyze whether the following is a polynomial function or not. Write it's degree if its polynomial.
y=100
y=4x^3+5^-6
y=0(zero)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
here's a reference.

https://www.mathsisfun.com/algebra/polynomials.html

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.

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.

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.

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.
RELATED QUESTIONS
Analyze whether the following is a polynomial function or not. Write it's degree if its... (answered by ikleyn)

State whether the function is a polynomial function or not. If it is, give its degree.... (answered by jim_thompson5910)

State whether the function is a polynomial function or not. If it is, give its degree.... (answered by ikleyn)

f(x)= x(x-6) State wheather the function is a polynomial function or not. If it... (answered by funmath)

Decide whether h(x)=−3x2+2x−9+4√x3 is a polynomial function.... (answered by Boreal)

State whether the function is a polynomial fuction or not, if it is give it's degree if... (answered by stanbon)

State whether the function is a polynomial function or not. If it is, give its degree. If (answered by ikleyn)

determine whether function is a polynomial function , if it is, state the degree, if it... (answered by Boreal)

Hi, Can someone please review the following, I did the work I just want to make sure... (answered by Earlsdon)