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Polynomials
(Answer ID # 0892571)
Classify as a monomial, binomial, or trinomial.
1.   -9x - 4
Monomial      Binomial      Trinomial     
2.   -14x2 - 14x + 19
Monomial      Binomial      Trinomial     

Add.
3.   (14x + 15) + (10x + 14)



4.   (8x + 10) + (11x + 10)



5.   (14x2 + 5x + 19) + (11x2 + 18x + 17)




Subtract.
6.   (7x + 7) - (11x + 13)



7.   (11x + 17) - (14x + 18)



8.   (7x2 + 17x + 13) - (12x2 + 10x + 4)




 

Multiply.
9.   (6x) (11x + 9)



10.   5x (4x + 1)



11.   10x (11x2 + 5x + 4)




Use FOIL.
12.   (11x + 8) (2x + 5)



13.   (7x + 7) (5x + 3)



14.   (5x + 2) (11x + 7)




Multiply.
15.   (5x2 + 6x - 10) (8x - 3)



16.   (9x2 + 11x - 9) (12x - 5)



17.   (-7x7 - 12x6 + 9) (6x2 - 10x - 7)




Divide.
18.  
24x

4x
19.  
72x4
36x2
20.  
105x
126x2

 

Divide.
21.   (12x4 + 28x3 + 32x) ÷ 4



22.   (12x4 + 3x3 + 18x2) ÷ 3



23.   (75x4 + 70x3 + 30x) ÷ 630x




Add, Subtract, and Multiply.
24.   [(7x + 4) (-8x - 8)] + [(8x + 9) (5x + 6)]



25.   [(11x) (10x + 11)] - [(16x + 14) - (10x + 16)]




Factor out the GCF from each polynomial.
26.   -165x3 + 198x
27.   350x3 - 400x2 - 300x
28.   -135x6 + 108x5 - 27x4

Write each polynomial as the product of two binomials.
29.   (x - 12)9 + x(x - 12)
30.   x(x + 7) + 9(x + 7)
31.   (x - 10)-9 + 7x(x - 10)

 

Factor completely.
32.   x2 + 14x + 49
33.   49x2 - 64
34.   64x2 - 9

Factor completely.
35.   49x2 - 28xy + 4y2
36.   9x4 - 100
37.   4x4 + 28x2 + 49

Factor completely.
38.   x2 - 12x + 20
39.   x2 - 19x + 84
40.   x2 - x - 12

Solve by factoring.
41.   81x2 - 100 = 0
42.   25x2 - 144 = 0
43.   64x2 + 48x + 9 = 0

 

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