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Synthetic Division of Polynomials (Grades 11-12)

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Synthetic Division of Polynomials

1. 
Use synthetic division to divide the polynomials: [math](x^2-5x-24)/(x-8)[/math].
  1. [math]x^2+3[/math]
  2. [math]x+3[/math]
  3. [math]x-3[/math]
  4. [math]x+3+(8)/(x-8)[/math]
2. 
Use synthetic division to divide the polynomials: [math](3m^2+16m-12)/(m+6)[/math].
  1. [math]3m-2[/math]
  2. [math]m-2[/math]
  3. [math]3m-2+(8)/(m-2)[/math]
  4. [math]3m+2[/math]
3. 
Use synthetic division to divide the polynomials: [math](x^3+64)/(x+4)[/math].
  1. [math]x^2+16[/math]
  2. [math]x^2-16x+4[/math]
  3. [math]x^2-4x+16[/math]
  4. [math]x^2-4[/math]
4. 
Use synthetic division to divide the polynomials: [math](z^3-8)/(z-2)[/math].
  1. [math]z^2-2z+4[/math]
  2. [math]z^2+4z+4[/math]
  3. [math]z^2+2z+4[/math]
  4. [math]z^2+2z-4[/math]
5. 
Use synthetic division to divide the polynomials: [math](x^2+2x-63)/(x+9)[/math].
  1. [math]x-7[/math]
  2. [math]x+7[/math]
  3. [math]x^2-7[/math]
  4. [math]x^2+3x-54[/math]
6. 
Use synthetic division to divide the polynomials: [math](x^2-14x+45)/(x-5)[/math].
  1. [math]x+9[/math]
  2. [math]9-x[/math]
  3. [math]x+5[/math]
  4. [math]x-9[/math]
7. 
Use synthetic division to divide the polynomials: [math](y^2+14y+49)/(y+7)[/math].
  1. [math]y-7[/math]
  2. [math]y^2+7[/math]
  3. [math]y+7[/math]
  4. [math]y+(7)/(y+7)[/math]
8. 
Use synthetic division to divide the polynomials: [math](x^2+7x+7)/(x+3)[/math].
  1. [math](x+4)/(x+3)[/math]
  2. [math]x+5[/math]
  3. [math]x+4+(5)/(x+3)[/math]
  4. [math]x+4+(-5)/(x+3)[/math]
9. 
Use synthetic division to divide the polynomials: [math](8x^3+6x^2+7) รท (x + 2) [/math].
  1. [math]8x^2-10x+20+(-33)/(x+2)[/math]
  2. [math]8x^2-10x+20+(33)/(x+2)[/math]
  3. [math]-8x^2+10x-20+(-33)/(x+2)[/math]
  4. [math]8x^2-10x-20-(-33)/(x+2)[/math]
10. 
Use synthetic division to divide the polynomials: [math](x^3+12x^2+20x-96)/(x-2)[/math].
  1. [math]x^2+14x+8+(-4)/(x-2)[/math]
  2. [math]x^2+14x+48[/math]
  3. [math]x^3+8+(-4)/(x-2)[/math]
  4. [math]x^2+8x+48[/math]
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