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Polynomial questions

             (1)
Add or Subtract 
(9x^4+7x^2-6x-15)+(3x^3-7x^2+6x-15
 
             (2)
Add or Subtract
(9x^3+x^2-x-13)-(9x^3+x^2-x-13)
           
             (3)
Add or Subtract
(9m^4n^2-13m^3n^3+11m^2n^4)+(-4m^2-n^4-3m^4n^2-m^3n^3)
 
             (4)
Add or Subtract
(22x^3y^9-21x^6y^4-7x^8y^2)-(22x^3y^9-21x^6y^4-7x^8y^2)
 
              (5)
Find the missing polynomial
(2x^3-4x^2-7x+19)+ ? =x^2+3x+24
 
 
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1 Answer

1/3: Just drop the ( ) and combine like terms (anything that have EXACTLY the same number of variables)
 
2/4: DISTRIBUTE the - to the SECOND polynomial, so CHANGE THE SIGN of EVERYTHING in the second set of parenthesis (), THEN combine like terms.
 
5: rearrange the problem to get a SUBTRACTION problem, and then follow the "directions" for #'s 2/4.
 
 
 
I can upload a video with all the work if that helps.

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