Final answer:
To determine if each expression is a polynomial, we analyze the exponents of the variables. a. 4x^2 + 2x* - 5x + 2 is a degree 2 polynomial. b. x + 4x-7 + 2x* - 5x^2 + 2 is a degree 2 polynomial. c. Ox+ + 2x^3 - 5x + 2 is not a polynomial as it has a variable with an undefined exponent.
Step-by-step explanation:
The given expressions are:
a. 4x2 + 2x* - 5x + 2
b. x + 4x-7 + 2x* - 5x2 + 2
c. Ox+ + 2x3 - 5x + 2
To determine if each expression is a polynomial, we need to check if the exponents of the variables are whole numbers and if there are no negative exponents. If both conditions are met, we have a polynomial. Let's analyze each expression:
a. The expression 4x2 + 2x* - 5x + 2 is a polynomial because all the exponents are whole numbers and there are no negative exponents. It is a degree 2 polynomial with a coefficient of 4 as its coefficient principal and a constant term of 2 as its term independente.
b. The expression x + 4x-7 + 2x* - 5x2 + 2 is also a polynomial because all the exponents are whole numbers and there are no negative exponents. It is a degree 2 polynomial with a coefficient of -5 as its coefficient principal and a constant term of 2 as its term independente.
c. The expression Ox+ + 2x3 - 5x + 2 is not a polynomial because it has a variable with an undefined exponent (Ox+) which makes the exponent a non-whole number.