SIMPLE POLYNOMIAL QUESTION: 3x2y + 4xy + 1 – 5x4y – 6y WRITE IN DESENDING ORDER< CLASSIFY THE POLYNOMIAL< AND STATE THE DEGREE OF IT
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OpenStudy (iwanttogotostanford):
SORRY ITS: 3x^2y + 4xy + 1 – 5x^4y – 6y
OpenStudy (iwanttogotostanford):
@sohailiftikhar @jowjayjax @LynFran
OpenStudy (sohailiftikhar):
what you think ?
OpenStudy (iwanttogotostanford):
I think that the 5x would go first and then the 4? or is it based on the exponent?
OpenStudy (iwanttogotostanford):
or 6y
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OpenStudy (sohailiftikhar):
here the maximum degree of x is 4 so this is the degree of equation and now right this term at start and so on
OpenStudy (iwanttogotostanford):
what is the degree of the polynomial<?
OpenStudy (sohailiftikhar):
4
OpenStudy (iwanttogotostanford):
ok and then for descending order how would i do that?
OpenStudy (sohailiftikhar):
it will be greater power of x to towards lower power of x
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OpenStudy (iwanttogotostanford):
so it would be 5x4y-6y+4xy+3x2y+1?
OpenStudy (sohailiftikhar):
start from x^4 and then x^3 and so on
OpenStudy (iwanttogotostanford):
I'm still confused on what the descending order would be?
OpenStudy (sohailiftikhar):
Oder is the degree of variable means power like x^4 here Oder is 4 and it is greater degree now right x^3 then x^2 then x^1 then x^0 this is the descending Oder
OpenStudy (iwanttogotostanford):
what would the descending order start off with in this specific polynomial? could you just give me the first two to get me going?
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OpenStudy (sohailiftikhar):
ok now look the term containting higher power of x like
-5x^4y+0x^3+3x^2y+4x^1y-6x^0y
OpenStudy (sohailiftikhar):
this is your descending oder
OpenStudy (iwanttogotostanford):
thank you :-)
OpenStudy (sohailiftikhar):
np:)
OpenStudy (iwanttogotostanford):
wait so it is this right>?
-5x^4y+3x^2y+4xy-6y
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OpenStudy (sohailiftikhar):
yes
OpenStudy (iwanttogotostanford):
okay, and how would i classify this polynomial based on its terms?
OpenStudy (iwanttogotostanford):
would it be a fifth-degree polynomial?
OpenStudy (sohailiftikhar):
no here the maximum degree of x is 4 so it's fourth degree
OpenStudy (iwanttogotostanford):
oh ok, so its not a trinomial either?
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OpenStudy (iwanttogotostanford):
how'd you know it was a fourth degree? Just based on the maximum degree of x?
OpenStudy (sohailiftikhar):
yes
OpenStudy (iwanttogotostanford):
ok, thanks again!
OpenStudy (sohailiftikhar):
it depend upon the power of variable in the polynomial