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Mathematics 20 Online
OpenStudy (anonymous):

FAN AND MEDAL Can somebody please define Term and Degree when it comes to Polynomials?

OpenStudy (anonymous):

Well,The Degree is basically the Exponent after each expression, for example If it says (2x+5)^3, Then the 3 would be the degree. (:

OpenStudy (anonymous):

Thank you!!

OpenStudy (anonymous):

Oh your welcome c:

OpenStudy (larseighner):

The degree of a polynomial is the highest power of the UNKNOWN in the polynomial. It does not matter how many exponents are on constants, etc. or what lower powers of the unknown may appear.

OpenStudy (anonymous):

Thank you @LarsEighner

OpenStudy (anonymous):

What is the term?

OpenStudy (anonymous):

ex: 4x^2+2x-3 The 4, 2 and -3 are terms

OpenStudy (anonymous):

the leading term is the term with the highest degree. in my example it would be 4

OpenStudy (larseighner):

I'm trying to think of how to put it formally, but basically a term is one of the pieces that is added or subtracted or may be beside itself on the other side of the equal sign.

OpenStudy (anonymous):

the leading term is the one with the biggest exponent

OpenStudy (anonymous):

Monomials have one term. Binomials have 2 terms and trinomials have 3 terms

OpenStudy (anonymous):

And each term is separated by a sign such as a plus or minus symbol correct?

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

So 3x^6+4y+3y^2 Would have 3 terms, and a degree of 6?

OpenStudy (anonymous):

@lacrosseplayer22 @LarsEighner

OpenStudy (anonymous):

yes 3 terms. and the highest degree is 6

OpenStudy (larseighner):

yup

OpenStudy (anonymous):

Great! Thanks guys!

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