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1. Verifique si cada expresión mostrada determina un polinomio, si lo es determine

su grado, coeficiente principal y su término independiente.
a. 4x2 + 2x* - 5x + 2
b. x + 4x-7 + 2x* - 5x2 + 2
c. Ox+ + 2x3 - 5x + 2

2 Answers

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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.

User Outofculture
by
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6 votes

Answer:

el respuesta es b porque la confianza

User Mujnoi Gyula Tamas
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8.6k points
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