Here's the breakdown to determine the correct answer:
What is a polynomial?
* A polynomial is an expression with variables and coefficients, where variables only have whole-number exponents (0, 1, 2, 3...).
What is the degree of a polynomial?
* The degree is the highest exponent of any term in the polynomial.
The correct answer is:
* 9x4 – x3 – x/5
* All exponents are whole numbers.
* The highest exponent is 4.
Why the other options are incorrect:
* 5x4 + √(4x) : Contains a square root (not a whole-number exponent).
* x5 – 6x4 + 14x3 + x2 : Degree is 5, not 4.
* 2x4 – 6x4 + 14/x : Has a term with x in the denominator (equivalent to a negative exponent).
