Question

Explain a method of determining the correct degree and classification of a polynomial. Why is this polynomial (4x2y + 5xy) classified as a 3rd degree binomial?

Answer 1

well, let's take a peek at each term's degree then
`\bf 4x^2y+5xy\iff 4x^2y^1+5x^1y^1\qquad \begin{cases} & degree\\ 4x^2y^1\to 2+1\to &3\\\\ 5x^1y^1\to 1+1\to &2 \end{cases}`

notice, the degree of a polynomial, is from the exponent value of their variables