Hello!
The answer is:
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Why?
A polynomial is a mathematical expression that contains constant values like numbers, and variables like "x, y, z or p", these constants and variables can indicate algebraic operations like addition, subtraction, division, and product. The variables can have exponent numbers that define the degree of a polynomial.
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it's a polynomial because it have a constant value (1) and a variable (x), it's a first degree polymonial.
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it's a polynomial because it have a constant value (6) and a variable (p), it's a first degree polynomial.
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it's a polynomial since it have a combination of two variables (x and z), it's a third degree polynomial since the largest exponent is 3.
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is not a polynomial since it have a square root. Polynomials does not contains roots.
Have a nice day!