What are the coordinates of the point on the directed line segment from (-10, -2)(−10,−2) to (10, -10)(10,−10) that partitions the segment into a ratio of 3 to 5?

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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

you,

mrb