## College Algebra (10th Edition)

Published by Pearson

# Chapter R - Section R.4 - Polynomials - R.4 Assess Your Understanding - Page 48: 21

#### Answer

The given expression is a polynomial whose degree is 0.

#### Work Step by Step

Using the rule $x^0=1$, the given expression is equivalent to: $=5(1) \\=5(x^0) \\=5x^0$ The exponent of the variable is $0$, which is a nonnegative integer. Thus, the given expression is a monomial and is consequently a polynomial. The degree of a nonzero polynomial in one variable is equal to the exponent of the variable. Thus, the degree of the polynomial is 0.

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