[tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order
Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomials:
[tex]\rm 3x^2[/tex] and
[tex]x^2y+3xy^2+1[/tex]
For [tex]3x^2[/tex]
In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:
This is the polynomial of one variable with second order.
In polynomial, [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.
The maximum power of x is 3( x has a power of 2 and y has a power of 1)
This is the polynomial of two variables with third order.
Thus, [tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order.
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Answer:
The polynomial 3x2 is a monomial with a degree of 2
The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3
Step-by-step explanation:
