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Mathematics 11 Online
OpenStudy (anonymous):

What is a degree of the polynomial?

OpenStudy (anonymous):

@marissalovescats

OpenStudy (marissalovescats):

Whatever the highest power in the polynomial is, that is the degree.

OpenStudy (anonymous):

so if there was 5^3,and 7^10 the answer would be 10

OpenStudy (anonymous):

yes

OpenStudy (phi):

though a polynomial has variables (letters), and it is the highest power of the variable so in the simple polynomial 10^3 x^2 the 3 on the 10 does not count. the degree is 2 (the highest (and only) power on the variable)

OpenStudy (anonymous):

well i have 3a5 - 2a2b3c + 4ab2 what is the degree, i think its 5

OpenStudy (anonymous):

so 8x^2 the degree would be 2 @phi

OpenStudy (phi):

if a polynomial has more than one variable, then add the powers in each term. the biggest sum of all the terms is the degree for example, if a,b,c are variables and you had ab+a b^2 c the degree of this polynomial is 4 a b has degree 1+1=2 a b^2 c has degree 1+2+1= 4

OpenStudy (phi):

for ***well i have 3a5 - 2a2b3c + 4ab2 what is the degree, i think its 5*** it looks like \(2a^2b^3c^1\) has the highest degree, so this term determines the degree of the polynomial

OpenStudy (phi):

you get 2+3+1= 6

OpenStudy (phi):

8x^2 is 2 (piece of cake on this one)

OpenStudy (anonymous):

so the letters you add the exponents up and then you can tell what the degree is?

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