Subtracting Polynomials (Grade 9)

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Subtracting Polynomials

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. 
When [math]2a^2-4[/math] is subtracted from [math]a^2+3[/math] the result is which of the following?
  1. [math]-a^2-7[/math]
  2. [math]a^2-7[/math]
  3. [math]-a^2+7[/math]
  4. [math]a^2+7[/math]
3. 
Subtract: [math](4x^2 - 2x + 8) - ( x^2 + 3x - 2)[/math]
  1. [math]3x^2 + x + 6[/math]
  2. [math]3x^2 + x + 10[/math]
  3. [math]3x^2 - 5x + 6[/math]
  4. [math]3x^2 - 5x + 10[/math]
4. 
Subtract the polynomials.
[math](-3z^2 + 9z -4) - (4z^2 -5 + z)[/math]
  1. [math]-7z^2 + 8z +1[/math]
  2. [math]-z^2 + 8z - 9[/math]
  3. [math]z^2 + 10z -9[/math]
  4. [math]7z^2 +4z -3[/math]
5. 
What is the difference [math](x^4 - 3x^2 + 4x + 7) - (x^4 - 6x^3 + 4x)?[/math]
  1. [math]3x^3 + 7[/math]
  2. [math]6x^3 - 3x^2 + 7[/math]
  3. [math]6x^3 - 3x^2 + 8x + 7[/math]
  4. [math]3x^3 + 8x + 7[/math]
6. 
Subtract.
[math](2m^5 + 3m^2 -7) - (4m^4 - 2m^3 + 5m)[/math]
  1. [math]2m^5 -4m^4 + 2m^3 +3m^2 -5m -7[/math]
  2. [math]-2m^5 + 5m^2 -7 - 5m[/math]
  3. [math]2m^5 + m^2 +5m - 7[/math]
  4. [math]2m^5 -4m^4 +m^2 +5m -7[/math]
7. 
Subtract.
[math](5x^2 - 5xy -y^2 + 9x + 2y - 7) - (3x^2 - 4x + xy - 2y + 4)[/math]
  1. [math]2x^2 - 6xy -y^2 + 13x +4y - 11[/math]
  2. [math]8x^2 -4xy - y^2 + 5x - 3[/math]
  3. [math]2x^2 - 6xy + 5x -11[/math]
  4. [math]2x^2 - xy - 2y^2 + 9x + 4y -11[/math]
8. 
Subtract the two polynomials.
[math](4a^2 - 3c^2 - a + 7b -13) - (3a^2 +5b^2 + 2b - 3c +3)[/math]
  1. [math]a^2 + 5b^2 - 3c^2 -a +5b -3c -10[/math]
  2. [math]a^2 - 8c^2 -3a + 10b -16[/math]
  3. [math]a^2 - 5b^2 - 3c^2 - a + 5b + 3c - 16[/math]
  4. [math]a^2 +5b-16[/math]
9. 
Subtract.
[math](3a^3 -5a^2 +11) - (6a^3 - a - 2)[/math]
  1. [math]3a^3 - 5a^2 - a +9[/math]
  2. [math]-3a^3 - 4a^2 + 13[/math]
  3. [math]9a^3 - 5a^2 - a + 9[/math]
  4. [math]-3a^3 - 5a^2 + a + 13[/math]
10. 
Subtract the polynomials.
[math](6x^3 - 4x^2y + 9xy^2 - 2y^3) - (xy^2 - 3x^2y + 4x^3 - 7y^3)[/math]
  1. [math]5x^3 - x^2y + 5xy^2 + 5y^3[/math]
  2. [math]2x^3 - x^2y + 8xy^2 +5y^3[/math]
  3. [math]2x^3 - 7x^2y + 8xy^2 - 9y^3[/math]
  4. [math]5x^3 -5x^2y + 12xy^2 - 9y^3[/math]

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