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):
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.
