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If f(x) = 2x^5 - x^4 + x^2 - 3, and g(x) is a polynomial such that the degree of f(x) + g(x) is 3, then what is the degree of g(x)?

 Mar 21, 2020
 #1
avatar+111330 
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Note  that  if we let  g(x)  be  - 2x^5 + x^4  + ax^3

 

Then....adding  f(x) + g(x) we get

 

ax^3  + x^2  - 3    =    degree 3

 

So

 

g(x)  must also  be  degree 5

 

 

cool cool cool

 Mar 21, 2020
 #2
avatar+397 
+1

Thanks!!!

qwertyzz  Mar 21, 2020

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