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Algebra I Exercises: Multiplying Polynomials and Two Special Cases of Polynomials


Question Group #1
Directions and/or Common Information: Multiply each monomial and polynomial.


5x (2x2 + 5x +8)
1. 





-2x (7x2 - 2x - 2)
2. 





x (y2 + 2y)
3. 





-4x (-2y2 - x + 1)
4. 





3x (-7y3 - 6x2 + 3y - 5)
5. 




Question Group #2
Directions and/or Common Information: Use FOIL to multiply the two binomials.


(x + 2)(x + 8)
1. 





(x + 1)(x - 1)
2. 





(6x - 1)(x + 2)
3. 





(-2x + 5)(4x -2)
4. 





(x + 4)(x - 4)
5. 





(-3x2 - 1)(-7x - 4)
6. 





(x - 2)(x + 2)
7. 





(x2 - 3)(7x2 - 8)
8. 




Question Group #3
Directions and/or Common Information: Square the binomials.


(x + 6)2
1. 





(x - 9)2
2. 





(-x + 5)2
3. 





(-x - 4)2
4. 





(3x - 2)2
5. 





(4x + 8)2
6. 




Question Group #4
Directions and/or Common Information:  Multiply the polynomials.


(x + 1)(7x2 +3x + 4)
1. 





(8x2 + 5x + 7)(3x2 +7x +1)
2. 





( x2 -9x + 8)(2x2 + 3x + 6)
3. 





(-2x3 + 4x - 3)( 8x2 + 5x - 4)
4. 





(x2 - 6x + 9)(-7x2 + 3x + 5)
5. 





(6x2 -6x + 3)(7x2 - 7x -1)
6. 





(-3x4 + 7x3 -3x2 +6x + 1)(5x3 + 9x2 - 7x + 2)
7. 








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