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Polynomials
(Answer ID # 0845391)
What is the missing factor?

1.   f(x) = x3 + 1000  
= ( ? )(x2 - 10x + 100)
2.   f(x) = x3 + 12x2 + 17x - 90  
= ( ? )(x + 5)(x - 2)
3.   f(x) = -x3 + 4x2 - 4x  
= ( ? )(-x)(x - 2)
4.   f(x) = x3 - 1728  
= ( ? )(x2 + 12x + 144)
5.   f(x) = -4x3 + 28x2 + 120x  
= ( ? )(x + 3)(-4x)
6.   f(x) = x3 - 8x2 + 4x - 32  
= ( ? )(x - 8)
7.   f(x) = x3 - 1331  
= ( ? )(x2 + 11x + 121)
8.   f(x) = 3x3 - 48x2 + 144x  
= ( ? )(3x)(x - 4)
9.   f(x) = 64x3 - 512  
= ( ? )(16x2 + 32x + 64)
10.   f(x) = 4x3 - 68x2 + 264x  
= ( ? )(x - 6)(4x)
11.   f(x) = -2x3 + 6x2 + 56x  
= ( ? )(-2x)(x + 4)
12.   f(x) = x3 + 10x2 + 9x + 90  
= ( ? )(x + 10)
13.   f(x) = -4x3 + 16x2 + 20x  
= ( ? )(x - 5)(x + 1)
14.   f(x) = x3 + 8x2 - 3x - 24  
= ( ? )(x + 8)
15.   f(x) = 2x3 + 16x2 - 40x  
= ( ? )(x + 10)(x - 2)
16.   f(x) = -4x3 + 72x2 - 288x  
= ( ? )(x - 6)(x - 12)
17.   f(x) = 8x3 - 216  
= ( ? )(4x2 + 12x + 36)
18.   f(x) = x3 + 8x2 + 15x  
= ( ? )(x + 3)(x + 5)
19.   f(x) = x3 - 343  
= ( ? )(x2 + 7x + 49)
20.   f(x) = x3 + 5x2 - 11x - 55  
= ( ? )(x + 5)

 

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