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Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .

Sagot :

[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

What is polynomial?

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.

Learn more about Polynomial here:

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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:

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