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Sample edHelper.com - Polynomials Worksheet

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Polynomials
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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