Ryan notes that dividing x2−2 by 2√ will not yield a polynomial. Is Ryan correct? Explain. Ryan is not correct. x2+2/2√ is a polynomial since no variables are present in the denominator or within a radical symbol and the only variable has a positive integer exponent. Ryan is correct. x2+2/2√ is not a polynomial since a radical value is present in the denominator of the expression. Ryan is not correct. x2+2/2√ is a polynomial since it consists of both variables and constants and all numbers within the expression are real. Ryan is correct. x2+2/2√ is not a polynomial since polynomials are not closed under division, meaning the division of polynomials will never produce another polynomial.

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Answered: Ryan notes that dividing x2−2 by 2√…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter6: Polynomials

Section6.1: Add And Subtract Polynomials

Problem 6.29TI: The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top...

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Ryan notes that dividing x²−2 by 2√ will not yield a polynomial. Is Ryan correct? Explain.

Ryan is not correct. x²+2/2√ is a polynomial since no variables are present in the denominator or within a radical symbol and the only variable has a positive integer exponent.
Ryan is correct. x²+2/2√ is not a polynomial since a radical value is present in the denominator of the expression.
Ryan is not correct. x²+2/2√ is a polynomial since it consists of both variables and constants and all numbers within the expression are real.
Ryan is correct. x²+2/2√ is not a polynomial since polynomials are not closed under division, meaning the division of polynomials will never produce another polynomial.

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