Adding Polynomials (Grade 9)

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Adding Polynomials

1. 
Add. Your answer should be fully simplified.
[math](2x + 5) + (4x + 7)[/math]
  1. [math]18x[/math]
  2. [math]8x^2 + 34x + 35[/math]
  3. [math]6x + 12[/math]
  4. [math]2x + 4x + 5 + 7[/math]
2. 
Add the polynomials.

[math](3x^2+3x+1) + (x^2+x+5)[/math]
  1. [math]4x^2+4x+6[/math]
  2. [math]3x^2-2x+4[/math]
  3. [math]4x^2-4x-6[/math]
  4. [math]2x^2+2x-4[/math]
3. 
Add the polynomials.
[math](5z^2 - 4z + 4) + (-3z - z^2 + 5)[/math]
  1. [math]2z^2 - 5z + 9[/math]
  2. [math]6z^2 + 7z + 9[/math]
  3. [math]8z^2 + 5z + 9[/math]
  4. [math]4z^2 - 7z + 9[/math]
4. 
Add.
[math](-4x^2 + 7x -11) + (6x^3 -7x +10)[/math]
  1. [math]2x^2 + x -1[/math]
  2. [math]6x^3 - 4x^2 -1[/math]
  3. [math]-2x^3 - x + 1[/math]
  4. [math]10x^2 + 14x + 21[/math]
5. 
Add the polynomials.
[math](3x^2-4x+7) + (2x^3-4x^2-6x+5)[/math]
  1. [math]2x^3+x^2+10x+12[/math]
  2. [math]2x^3-x^2-10x+12[/math]
  3. [math]2x^3−x^2+10x-12[/math]
  4. [math]2x^3−10x+12-x^2[/math]
6. 
Add.
[math](5z^4 + 8z^2 - 4z -10) + (3z^3 -2z^2 + 4z - 2)[/math]
  1. [math]2z^4 + 10z^2 - 8z -12[/math]
  2. [math]8z^4 + 6z^2 -12[/math]
  3. [math]5z^4 + 3z^3 +10z^2 + 8z + 12[/math]
  4. [math]5z^4 + 3z^3 + 6z^2 - 12[/math]
7. 
Add. Leave answer in simplest form.
[math] (3m^2 - 5n^2 + 2m + 6n -3) + (4 -4n^2 + 5m - 12n + 2m^2)[/math]
  1. [math]7m^2 - 2m - 6n - 1[/math]
  2. [math]5m^2 - 9n^2 + 7m - 6n + 1[/math]
  3. [math]5m^2 + 9n^2 + 7m + 18n +7[/math]
  4. [math]3m^2 - 5n^2 + 7m - 6n -1 [/math]
8. 
Add the polynomials [math]4x^3+3x^2y+2xy^2+y^3[/math] and [math]x^3-2x^2y+3xy^2-4y^3[/math].
  1. [math]5x^3-x^2y-5xy^2+3y^3[/math]
  2. [math]5x^3-x^2y+5xy^2-3y^3[/math]
  3. [math]5x^3+x^2y+5xy^2-3y^3[/math]
  4. [math]5x^3+x^2y+5xy^2+3y^3[/math]
  5. [math]5x^3+5x^2y+5xy^2+5y^3[/math]
9. 
Add.
[math](3x^2 + 4xy + y^2 + 12x - 6y) + (-2x^2 + 2xy + 9y^2 - 5x + 8y)[/math]
  1. [math]x^2 + 6xy + 10y^2 + 7x + 2y[/math]
  2. [math]5x^2 + 6xy + 10y^2 + 17x+ 14y[/math]
  3. [math]3x^2 + 10y^2 + 11x + 4y[/math]
  4. [math]5x^2 + 7xy + 9y^2 -14y[/math]
10. 
Add the polynomials.
[math](4a^2 + b^2 + a - 5c + 7) + (c^2 - 5 + a - 3b^2 - 6a^2)[/math]
  1. [math]4a^2 -3b^2 -4c^2 + 2a + 7[/math]
  2. [math]10a^2 + 4b^2 +c^2 + 2a + 5c + 12[/math]
  3. [math]4a^2c^2 + ab^2 - 8b^2c - a^2 - 5a [/math]
  4. [math]-2a^2 - 2b^2 + c^2 + 2a - 5c + 2[/math]

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