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Mathematics 22 Online
OpenStudy (anonymous):

Write the following polynomials in descending order, and identify the degree of polynomial and the leading coefficient.

OpenStudy (anonymous):

\[-6y^5-3y^7+12y^6\]

OpenStudy (rogue):

Descending order meaning term with the highest power goes first. So just rearrange the polynomial.

OpenStudy (anonymous):

How do i do that?

OpenStudy (rogue):

Well, the -3y^7 has the highest power, so that goes first. The term with the second highest power is 12y^6. The term with the lowest is -6y^5. So just write it in that order.

OpenStudy (anonymous):

alright i did that now what?

OpenStudy (rogue):

\[-3y^7+12y^6-6y^5\]

OpenStudy (rogue):

The degree of the polynomial is the degree of the term with the highest power. Your highest is -3y^7, so your polynomial's degree is 7.

OpenStudy (rogue):

Your lead coefficient is your coefficient (# before variable) of your highest degree term. The coefficient of -3y^7 is just -3.

OpenStudy (anonymous):

thanks

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