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Organize the following polynomial expressions from least to greatest based on their degree: I. x + 2xyz II. 9x3y2 III. 18x2 + 5ab − 6y IV. 4x4 + 3x2 − x − 4

Respuesta :

texaschic101
1. x + 2xyz....degree of 3 <== this is 2nd
2. 9x^3y^2....degree of 5 <== this is 4th
3. 18x^2 + 5ab - 6y....degree of 2 <=== this is 1st
4. 4x^4 + 3x^2 - x - 4.....degree of 4 <== this is 3rd

** if a polynomial has more then 1 variable, the degree of each term is the sum of the exponents....and the degree of the polynomial is the largest sum.

** if a polynomial has 1 variable, the degree of the polynomial is the highest exponent
aksnkj

The correct order of polynomials in the increasing order of their degree will be [tex]18x^2 + 5ab - 6y[/tex], [tex]x + 2xyz[/tex], [tex]4x^4 + 3x^2 - x - 4[/tex], and [tex]9x^3y^2[/tex]. The order will be III>I>IV>II.

The given expressions are:

[tex]x + 2xyz, 9x^3y^2, 18x^2 + 5ab - 6y[/tex], and [tex]4x^4 + 3x^2 - x - 4[/tex].

The degree of the polynomial [tex]x + 2xyz[/tex] is 3.

The degree of the polynomial [tex]9x^3y^2[/tex] is 5.

The degree of the polynomial [tex]18x^2 + 5ab - 6y[/tex] is 2.

The degree of the polynomial [tex]4x^4 + 3x^2 - x - 4[/tex] is 4.

So, the increasing order of the degree will be 2, 3, 4, and 5.

Therefore, the correct order of polynomials in the increasing order of their degree will be [tex]18x^2 + 5ab - 6y[/tex], [tex]x + 2xyz[/tex], [tex]4x^4 + 3x^2 - x - 4[/tex], and [tex]9x^3y^2[/tex]. The order will be III>I>IV>II.

For more details, refer to the link:

https://brainly.com/question/2284746

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