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Polynomial Long Division (Grades 11-12)

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Polynomial Long Division

Instructions: When dividing, use polynomial long division.

1. 
[math]3x^2-7x-6[/math] divided by [math](x-3)[/math] is
  1. [math](3x+2)+6/(x-3)[/math]
  2. [math]3x+2[/math]
  3. [math]x-3[/math]
  4. [math]3x^2-8x-9[/math]
2. 
What is the remainder of [math]4x^2+2x-5[/math] divided by [math]x-2[/math]?
  1. [math]-2[/math]
  2. [math]x-15[/math]
  3. [math]15[/math]
  4. [math]x+15[/math]
3. 
[math]13x^2+5x-8[/math] divided by [math](x+8)[/math] is
  1. [math](13x-104)+874/(x+8)[/math]
  2. [math](13x-99)+784[/math]
  3. [math](13x-8)[/math]
  4. [math](13x-99)+784/(x+8)[/math]
4. 
What is the remainder of [math]x^2+6x-2[/math] divided by [math]x-5[/math]?
  1. [math]-7[/math]
  2. [math]x-53[/math]
  3. [math]53[/math]
  4. [math]-2[/math]
5. 
Divide:
[math](x^2-3x-28)-:(x+4)[/math]
  1. [math]x-7[/math]
  2. [math]x+4[/math]
  3. [math]x+7[/math]
  4. [math]x-4[/math]
6. 
[math]4x^2-6x+2[/math] divided by [math](2x-1)[/math] is
  1. [math](x-2)+2/(2x-1)[/math]
  2. [math](2x-2)+2/(2x-1)[/math]
  3. [math](2x-2)[/math]
  4. [math](4x-1)+2/(2x-1)[/math]
7. 
What is the remainder of [math]x^2-x-2[/math] divided by [math]x+6[/math]?
  1. [math]-2[/math]
  2. [math]40[/math]
  3. [math]x-40[/math]
  4. [math]x+2[/math]
8. 
[math]x^2+14x-6[/math] divided by [math](x+7)[/math] is
  1. [math](x+7)+8/(x+7)[/math]
  2. [math](x+7)-55/(x+7)[/math]
  3. [math](x+7)-20/(x+7)[/math]
  4. [math](x+7)[/math]
9. 
[math]4x^3-2x^2+7x+5[/math] divided by [math](x+2)[/math] is
  1. [math](4x^2-10x+27)-49/(x+2)[/math]
  2. [math](4x^2-10x+27)[/math]
  3. [math](4x^2-10x+27)+59/(x+2)[/math]
  4. [math](4x^2-10x+27)-59/(x+2)[/math]
10. 
When [math]2x^3 +3x^2 -2x+3[/math] is divided by [math]2x-1[/math] the remainder is
  1. [math]0[/math]
  2. [math]1/2[/math]
  3. [math]3[/math]
  4. [math]6[/math]
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