Lucy is running a test on her car engine that requires her car to be moving. the tolerance for the variation in her car's speed, in miles/hour, while
running the test is given by the inequality |x-60 s 3. assume x is the actual speed of the car at any time during the test.
the minimum acceptable speed is
m
iles/hour, and maximum acceptable speed is
m
iles/hour.

hello from mrbilldoesmath!

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

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