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Question 934295: Arrange the terms of x^2y^3 + 4xy^2 - 3x^3y + 6 please.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! when you have more than one variable in each term of an expression, the degree of the expression is the sum of the exponents for all the variables in that term.
any expression that does not have addition or subtraction within it is a term.
the addition and the subtraction symbols separate terms.
x^2y^3 is one term and it's degree is 2 for the x plus 3 for the y = 5
4xy^2 is one term and it's degree is 1 for the x plus 2 for the y = 3
3x^3y is one term and it's degree is 3 for the x and 1 for the y = 4
6 is one term and it's degree is 0 because there are no variables in it.
remember that x is the same as x^1 and y is the same as y^1 when counting exponents of variables.
so your expression has 4 terms.
you order the expression from highest degree term to lowest degree term.
your expression would become:
x^2y^3 - 3x^3y + 4xy^2 + 6
degree of first term is 5
degree of second term is 4
degree of third term is 3
degree of fourth term is 0
the terms have been arranged in descending order of degree.
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