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Understanding Polynomial Long Division (Grades 11-12)

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Understanding Polynomial Long Division

1. 
What type of divisor must be used to divide polynomials using synthetic division?
  1. Trinomial Divisor
  2. Binomial Divisor
  3. Linear Divisor
  4. Polynomial Divisor
2. 
What is the dividend of the polynomial division [math](27x^3+9x^2-3x-10)/(3x-2)[/math]?
  1. [math]27x^3+9x^2-3x-10[/math]
  2. [math]3x-2[/math]
  3. [math](27x^3+9x^2-3x-10)/(3x-2)[/math]
  4. None of the above
3. 
What is the divisor in the polynomial division problem [math](x^7+x^5-10x^3+12)/(x+2)[/math]?
  1. [math]-10x^3+12[/math]
  2. [math]x^7+x^5[/math]
  3. [math]x^7+x^5-10x^3+12[/math]
  4. [math]x+2[/math]
4. 
What is the quotient of [math](x^3 - 3x^2 + 4x - 6) and (x - 2)?[/math]
  1. [math]x^2 - x + 2[/math]
  2. [math]x^2 - x + 3[/math]
  3. [math]x^2 - x + 2 + (2)/(x - 2)[/math]
  4. [math]x^2 - x + 2 - (2)/(x - 2)[/math]
5. 
Write the dividend of the polynomial division problem [math](x^2-5x-5x^3+x^4)-: (5+x)[/math] in standard form.
  1. [math]-5x^3+x^4+x^2-5x[/math]
  2. [math]x^4-5x^3+x^2-5x[/math]
  3. [math]x^2+x^4-10x^3[/math]
  4. [math]-5x+x^4-5x^3+x^2[/math]
6. 
What is the remainder of [math]5x^2+2x-8[/math] divided by [math]x-3[/math]?
  1. [math]-8[/math]
  2. [math]x-53[/math]
  3. [math]43[/math]
  4. [math]51[/math]
7. 
Use long division or synthetic division to divide the polynomials: [math](4x^2-9) -:(2x+3).[/math]
  1. [math]2x+3[/math]
  2. [math]2x-3[/math]
  3. [math]-2x+3[/math]
  4. [math]-2x-3[/math]
8. 
True or False: [math](3x^3-2x^2+3x-4)-:(x-3)=3x^2+7x+14+68/(x-3)[/math]
  1. True
  2. False
9. 
Solve using synthetic division:

[math](x^2 + 8x -13)[/math] divided by [math](x - 3)[/math]



10. 
Solve by using long division:

[math](x^3 + 19x^2 + 32)[/math] divided by [math](x + 4)[/math]



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