How do you write a polynomial in standard form, then classify it by degree and number of terms #6xy^2 + 4x^3y^8 + 9x^2#?
This is an undecic (degree
The degree of each term is the sum of the degrees of the variables:
#overbrace(6xy^2)^(1+2=3) + overbrace(4x^3y^8)^(3+8=11) + overbrace(9x^2)^2#
To put the polynomial in standard form, reorder the terms in descending order of degree to get:
The degree of the polynomial is the highest degree of any term, so
We do not usually use a special name for polynomial of degree
Since there are three terms, this is also called a trinomial.