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Mathematics 18 Online
OpenStudy (anonymous):

what is the degree of the polynomial -3x^2yz+x^3y^2+12xy ?

OpenStudy (anonymous):

\[-3x^2y^1z^1+x^3y^2+12x^1y^1 \]

OpenStudy (anonymous):

this is another way of writing that same expression

OpenStudy (anonymous):

the degree of the polynomial is the highest degree of its terms

OpenStudy (anonymous):

the degree of a term is found by adding the powers in that term, so for example, \[x^2y^1\]

OpenStudy (anonymous):

has a degree of 3

OpenStudy (anonymous):

so can you tell me the degree of \[-3x^2y^1z^1\]

OpenStudy (anonymous):

4

OpenStudy (anonymous):

correct, so apply this method to each term in that expression and the highest one is the degree of the polynomial

OpenStudy (anonymous):

since the highest is 5, the degree of polynomial of the above is 5.

OpenStudy (anonymous):

yay :)

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