Questions: Determine if the expression -a^-5 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Determine if the expression -a^-5 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Transcript text: Classifying Polynomials Score: 1/2 Penalty: none Question Show Examples Determine if the expression $-a^{-5}$ is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. Answer Attempt iout of 2 The given expression $\square$ a polynomial.
failed

Solution

failed
failed

Solution Steps

To determine if the expression −a−5-a^{-5} is a polynomial, we need to check if it meets the criteria for a polynomial. A polynomial is an expression consisting of variables and coefficients, involving only non-negative integer powers of the variables. Since the expression −a−5-a^{-5} involves a negative exponent, it is not a polynomial.

Step 1: Identify the Expression

The given expression is −a−5-a^{-5}. We need to analyze its structure to determine if it qualifies as a polynomial.

Step 2: Check for Polynomial Criteria

A polynomial is defined as an expression that consists of variables raised to non-negative integer powers. In this case, the term −a−5-a^{-5} includes the variable aa raised to the power of −5-5, which is a negative exponent.

Step 3: Conclusion

Since the expression contains a negative exponent, it does not meet the criteria for being a polynomial. Therefore, we conclude that −a−5-a^{-5} is not a polynomial.

Final Answer

Not a polynomial\boxed{\text{Not a polynomial}}

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
An closed box with a square base is to have a volume of 2900 cm^3. What should the dimensions of the box be if the amount of material used is to be minimum? (Use decimal notation. Give your answers to three decimal places.) Recall: The surface area of a rectangular box is: SA=2 * l * w+2 * l * h+2 * w * h, where l= length, w= width, and h= height. The volume of a box is: V=l * w * h. square base side length: cm height: cm
failedAnswered
Which of the following statements is true about customer loyalty? Customer loyalty generates customer satisfaction. Loyal customers provide valuable feedback. Customer loyalty helps in delivering value to a product Loyal customers do not require service.
failedAnswered
Describe how foundational values of liberty, equality, and justice influence the U.S. system of government In Obergefell v. Hodges, the Court ruled that laws banning same-sex marriage represented a grave injustice and that the principle of fairness required its legalization.
failedAnswered
Section C: Numbers from 1-99--question 5 For the price expressed in words in the sentence below (which is in italics to assist you), write that price using numerals in the blank. Do not include a dollar sign. Make sure to separate the dollars and cents elements by using a period, as we normally do with prices. Do not add extra spaces (this will make Canvas autograde your answer as wrong). Sample correctly formatted answer: 23.45 (no dollar sign, correct use of period between dollars and cents, no weird extra spaces) El diccionario cuesta cuarenta y cuatro dólares con trece centavos.
failedAnswered
While working on a kinematics problem, you derive an expression that has the following units: sqrt(m / ((m / s) / (m / s))^2) Is this expression unitless?