Question

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

Answer 1

The answer to this question is,

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This is really simple because, if a polynomial has more than one variable, then the degree of each term is the sum of the exponents, and the degree of the polynomial would be the biggest sum, and if the polynomial has one variable, then the degree of the polynomial is the largest exponent.

Therefore your answer is,

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Answer 2

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