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Higher Degree Polynomials and GCF (Grade 10)

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Higher Degree Polynomials and GCF

1. 
Find the greatest common factor.

[math]4m^3n^4p^6-6m^2n^6p^4[/math]
  1. [math]2mn^2p^2[/math]
  2. [math]12m^2n^4p^4[/math]
  3. [math]2mnp[/math]
  4. [math]2m^2n^4p^4[/math]
2. 
What is the greatest common factor of the expression?
[math]24x^5+36x^3-18x^2[/math]
  1. [math]2x^5[/math]
  2. [math]18x^2[/math]
  3. [math]3x[/math]
  4. [math]6x^2[/math]
3. 
Find the greatest common factor.
[math]9a^4b^7+12a^2b^5[/math]
  1. [math]3ab[/math]
  2. [math]3a^2b^5[/math]
  3. [math]6a^2b^5[/math]
  4. [math]3a^5b^2[/math]
4. 
Use the GCF of the terms to factor the polynomial.

Given: [math] 23x^4 + 46x^3 [/math]
  1. [math] x^3(23x+46) [/math]
  2. [math] 23x^3(x+2) [/math]
  3. [math] 23x^4(x+2) [/math]
  4. [math] 23x(x^3+2x^2) [/math]
5. 
Factor.

[math]18x^4+36x^3[/math]
  1. [math]18x[/math]
  2. [math]36[/math]
  3. [math]18x^3 (x+2)[/math]
  4. No common factor
6. 
Factor completely. [math]36a^4b^3 - 20a^3b^4 [/math]
  1. [math]4a^3b^3(9ab - 5b)[/math]
  2. [math]4a^3b^3(9a - 5b)[/math]
  3. [math]4a^3b^3(9a - 16b)[/math]
  4. [math]4a^3(9ab^3 - 5b^4)[/math]
7. 
Factor the expression. [math]13x^3y^2 - 4x^2y^3[/math]
  1. [math]x^3y^2(13x - 4y)[/math]
  2. [math]x^2y^2(13x - 4y)[/math]
  3. [math]x^2y^3(13x - 4y)[/math]
  4. [math]9x^3y^2[/math]
8. 
Factor using the greatest common factor. [math]16x^8-32x^7+12x^2[/math]
  1. [math]12x^2(4x^6-8x^5+1)[/math]
  2. [math]4x^2(4x^6-8x^5+3)[/math]
  3. [math]4x(4x^8-8x^7+3x^2)[/math]
  4. [math]x^2(16x^6-32x^5+12)[/math]
9. 
Factor: [math]25x^2y^4 + 40x^3 y^2[/math]
  1. [math]5x^2y^2(5y^2 + 8x)[/math]
  2. [math]5x^3y^4(5xy + 8y)[/math]
  3. [math]8x^2y^2(3x^2y - 3y^2)[/math]
  4. [math]4x^2y^2(6y^2 + 10x^3)[/math]
10. 
Factor: [math]15x^6 - 6x^3 + 9x^2[/math]
  1. [math]5x^4 (3x^2 -2x + 6)[/math]
  2. [math]3x^2 (5x^4 -2x + 3)[/math]
  3. [math]3x^4 (5x^2 - 2x +3)[/math]
  4. [math]2x^4 (7x^2 - 3x + 2)[/math]
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