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Mathematics 74 Online
OpenStudy (anonymous):

need help with polynomials 2-6y need to identify the degree and leading coefficient

OpenStudy (anonymous):

degree 1 and leading coefficient is -6

OpenStudy (anonymous):

why Jazzy? You've got to explain better than that, otherwise the student doesn't get much from being here.

OpenStudy (anonymous):

The degree of a polynomial is the highest exponent of all the terms of the polynomial. In this case, we only have two terms, the constant 2 and the term, -6y.

OpenStudy (anonymous):

\[-6y=-6y^1\]

OpenStudy (anonymous):

That is where the one comes from and since it is the term with the highest exponent, the degree of the polynomial is just that exponent, 1.

OpenStudy (anonymous):

Now what about 2. What is the exponent of it's variable? Well...

OpenStudy (anonymous):

\[y^0 = 1 => 2=2y^0\]

OpenStudy (anonymous):

So the exponent of the term "2" is actually 0, which is less than 1, and therefore NOT the degree of the polynomial.

OpenStudy (anonymous):

the exponent of the term "2" is degree one which equals itself, a zero degree would result in the equivalent value of 1

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