Polynomial questions

Question

             (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

 

 

Answer 1

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.