Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 12


monomial, x, y, 5, 5.

Work Step by Step

Monomials have the form: $$ax^k$$ where $a$ is a constant, $x$ is a variable, and $k$ is a non-negative integer (the degree). Monomials in two variables have the form: $$ax^ny^m$$ where $x$ and $y$ are both considered the "variables" with the degree being the sum $n+m$. The expression $5x^2y^3$ is a monomial because it matches the (second) form above. We can see that: - The variables are $x$ and $y$. - The coefficient is $5$. - The degree is $2+3=5$.
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