137k views
4 votes
Determine if the following function is a poly f(x)=x^((3)/(2))-7x+3

1 Answer

3 votes

Final answer:

The function f(x) = x^(3/2) - 7x + 3 is not a polynomial because it contains a term with a fractional exponent, which does not meet the definition of a polynomial with non-negative integer exponents.

Step-by-step explanation:

The student asks whether the function f(x) = x(3/2) - 7x + 3 is a polynomial. By definition, a polynomial is an expression consisting of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. The term x(3/2) indicates a square root, which is not a non-negative integer exponent. Consequently, f(x) is not a polynomial because it includes a fractional exponent.

User ColinTea
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories