Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why. f(x)=1050

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Answer:

D

Step-by-step explanation:

The function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is:

Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a

polynomial, state why.

F(x) = 1,050

  • A. This is a polynomial function of degree zero with a leading coefficient of 1,050.
  • B. This is not a polynomial. Horizontal lines can not be polynomials as there are no turning points.
  • C. This is not a polynomial. Only vertical lines of the form x = b can be classified as a polynomial.
  • D. This is not a polynomial because there are no variables.

We have a function:

f(x) = 1050

We can write it as:

f(x) = 1050x⁰

x⁰ = 1

As we know from the definition of the polynomial:

The polynomial is a combination of the variable and constant with powers of x that are non-negative.

f(x) = 1050 is a polynomial function of degree zero with a leading coefficient of 1,050.

Thus, the function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.

Learn more about Polynomial here:

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