Answer
$\text{First Term Coefficient: }
-1
\\\text{First Term Degree: }
2+1=3
\\\\\text{Second Term Coefficient: }
4
\\\text{Second Term Degree: }
3
\\\\\text{Third Term Coefficient: }
-2
\\\text{Third Term Degree: }
1+1=2
\\\\\text{Degree of the Polynomial: }
3$
Work Step by Step
The coefficient of a term is the number before the variable/s.
The degree of a term is the sum of the exponents of all variables in a term.
The degree of a polynomial is the highest degree among all the terms of the expression.
Hence, the given expression, $
-x^2y+4y^3-2xy
,$ has the following characteristics:
\begin{array}{l}\require{cancel}
\text{First Term Coefficient: }
-1
\\\text{First Term Degree: }
2+1=3
\\\\\text{Second Term Coefficient: }
4
\\\text{Second Term Degree: }
3
\\\\\text{Third Term Coefficient: }
-2
\\\text{Third Term Degree: }
1+1=2
\\\\\text{Degree of the Polynomial: }
3
.\end{array}
