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Algebra I Exercises: Factoring Special Products


Question Group #1
Directions and/or Common Information: Factor the GCF out of the polynomial.


1. x2 + 2x + 4
1. 





2. 4x + 2
2. 





3. 3x2 + 6x -9
3. 





4. 6x2 + 2x
4. 





5. 2x2y + 2x + 4
5. 





6. 3x2y4 + 2xy3 + y2
6. 





7. 6x5y4 - 12x3y3 + 2xy3
7. 




Question Group #2
Directions and/or Common Information: Factor the difference of the two squares.


1. 64x2 - 4
1. 





2. 16x2 - 49
2. 





3. 25x2 - 36
3. 





4. 9x2 - 81
4. 





5. 4x2 - 121y2
5. 





6. 100y2 - 36x2
6. 





7. 9x2y2 - 25y2
7. 




Question Group #3
Directions and/or Common Information: Factor each Perfect Square Trinomial
Hint: Remember that the answer will be in the form ( )2.
  • Take the square root of the first term and the square root of the last term to determine the numbers in the binomial.
  • Look at the sign of the middle term to determine the sign between the two terms in the binomial.


1. 16x2 + 40x + 25
1. 





2. 25x2 - 90x + 81
2. 





3. 4x2 + 36xy + 81y2
3. 





4. 10000x4 + 1800x3 + 81x2
4. 





5. 36x2 - 48xy + 16
5. 





6. 4x2 + 8x + 4
6. 








B Horn

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