SOLUTION: I thank you guys for helping me, I'm just having a hard time we move to a new section and I'm stuck. please halp Identify the polynomials of degree one. (68) ^1y^1

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Question 169841This question is from textbook elementary and Intermediate algebra concepts and application
: I thank you guys for helping me, I'm just having a hard time we move to a new section and I'm stuck. please halp
Identify the polynomials of degree one.
(68) ^1y^1
This question is from textbook elementary and Intermediate algebra concepts and application

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
The degree of a polynomial is equal to the degree of the highest degree term in the polynomial. The degree of a term is the sum of all exponents on variables in that term. A variable with no exponent is assumed to be raised to the 1 power, that is to say:

So:

. The highest degree term is the term, so the polynomial is of degree 1.

. Again, each of the terms containing a variable is of degree 1, so the polynomial is of degree 1.

. The highest degree term is the term which is of degree 2, hence the polynomial is of degree 2.

. Here the first term has two variables. The exponent on the x is 2 and the exponent on the y is 3, so the degree of the term is 2 + 3 or 5; the polynomial is of degree 5.

. Here the term containing the variables again has two variables. The exponent on x is 1 and the exponent on y is also 1, therefore the degree of the term is 1 + 1 or 2.

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