Question

Name the type of polynomial indicating the

number of terms and degree:
a) 2x3y2 binomial
b) 5x
+ 3x² – 9
trinomial

Answer 1

first off, bear in mind that the terms are usually separated by a + or a - sign.

secondly, the degree of a term of a polynomial comes from the sum of its variables' exponents.

a)

`\bf 2x^3y^2\qquad \begin{cases} \textit{no + or - signs, just one term a \underline{monomial}}\\\\ x^3y^2\implies \stackrel{degree}{3+2}\implies 5 \end{cases}`

b)

`\bf \stackrel{term}{5x}+\stackrel{term}{3x^2}-\stackrel{term}{9}\qquad \begin{cases} \textit{three terms, a \underline{trinomial}}\\\\ 5x^1\implies 1\\ 3x^2\implies 2\qquad \stackrel{\textit{degree of the polynomial}}{\textit{term with highest degree}}\\ \end{cases}`