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Polynomials

(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. (9x^4 + 7x^2 - 6x - 15) + (3x^3 - 7x^2 + 6x - 15) = 9x^4 + 3x^3 - 30
    (9x^4+7x^2-6x-15) - (3x^3-7x^2+6x-15) = 9x^4 - 3x^3 +14x^2 - 12x
 
2. I hope I am interpreting this correctly
 
     (9m4n- 13m3n+ 11m2n4) +(-4m2-n4-3m4n2-m3n3) = 6m4n2 - 14m3n3 + 7m2n- n4
     (9m4n2 - 13m3n3 + 11m2n4) - (-4m- n- 3m4n- m3n3)= 12m4n2 -12m3n3 + 15m2n4 + n4
 
3. and 4.  Ibadan, now that you've seen how to work a couple of these, why not try the next two on your own.  If you run into any difficulty, send me a message and I'll help you.
 
5. (2x3 - 4x2 -7x +19) + ? = (x2 + 3x +24)
 
     You can treat the question mark just as if it were some other variable.
 
Therefore
 
     ? = (x2 + 3x +24) - (2x3 - 4x2 -7x +19)
 
     ? = -2x3 +5x2 +10x +5