Consider these dilations. 1. Large triangle right-arrow smaller triangle. 2. Small square right-arrow large square. 3. Line segment right-arrow identical line segment. Which best describes the scale factor for each dilation? Dilation 1 has a scale factor . Dilation 2 has a scale factor . Dilation 3 has a scale factor .

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answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

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mrb