Polynomials, Adding and Subtracting (Grade 9)

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Polynomials, Adding and Subtracting

1. 
Subtract and write the resulting polynomial in descending order of degree.

[math](10y+13)-(-6y+9)[/math]
  1. [math]16y+22[/math]
  2. [math]20y[/math]
  3. [math]-16y-4[/math]
  4. [math]16y+4[/math]
2. 
Subtract. [math] (7a^2 - 3a) - (5a^2 - 5a)[/math]
  1. [math] 2a^2 - 8a[/math]
  2. [math] 2a^2 + 2a[/math]
  3. [math] 4[/math]
  4. [math]12a^2 - 8a [/math]
3. 
[math](-5x^2+4y)+(3x^3-4x^2-2y)[/math]
  1. [math]-2x^3+2x^2+2y[/math]
  2. [math]3x^3+9x^2-2y[/math]
  3. [math]3x^3-9x^2+2y[/math]
  4. [math]-2x^3-2y[/math]
4. 
[math](7n^5-3n+4n^2)+(2n^2+5n^5+8n)[/math]
  1. [math]12n^5+6n^2+5n[/math]
  2. [math]9n^5+2n^2+12n[/math]
  3. [math]5n^5-2n^2+4n[/math]
  4. [math]12n^5-6n^2-4n[/math]
5. 
[math](10p^4+p^3-4p^2-8)-(-12p^4+5p^3-2p+3)[/math]
  1. [math]22p^4-4p^3-4p^2+2p-5[/math]
  2. [math]-2p^4-4p^3-4p^2+2p-5[/math]
  3. [math]-2p^4+6p^3-6p^2+2p-11[/math]
  4. [math]22p^4-4p^3-4p^2+2p-11[/math]
6. 
[math](-4m-n)-(2m+3n)[/math]
  1. [math]-2m-4n[/math]
  2. [math]-6m-4n[/math]
  3. [math]-6m+2n[/math]
  4. [math]-8m-2n[/math]
7. 
[math](x^3y^2+2x^2y^3-5xy-4)+(x^2y^3-4x^3y^2+2xy+2)[/math]
  1. [math]2x^2y^3-2x^3y^2-3xy-2[/math]
  2. [math]2x^3y^2 -2x^2y^3-3xy-2[/math]
  3. [math]3x^2y^3-3x^3y^2+2xy-2[/math]
  4. [math]-3x^3y^2 +3x^2y^3-3xy-2[/math]
8. 
[math](3x^2-6x+2)-(-2x+3x^2+2)[/math]
  1. [math]-4x[/math]
  2. [math]6x^2+8x[/math]
  3. [math]x^2-3x[/math]
  4. [math]x^2-3x+4[/math]
9. 
[math](9k+ 4n) - (11k + 6n)[/math]
  1. [math]2k + 10n[/math]
  2. [math]-2k -2n[/math]
  3. [math]2k - 2n[/math]
  4. [math]20k -10k[/math]
10. 
Combine the polynomials.
[math](5x^3-2x^2+7x)+( -3x^3 + x^2 -5x)[/math]
  1. [math]2x^3+2x^2+2x[/math]
  2. [math]2x^3-x^2+2x[/math]
  3. [math]2x^3+3x^2+2x[/math]
  4. [math]2x^3+x^2+9x[/math]

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