Let the function \displaystyle ff be defined by \displaystyle f\left(x\right)=x^{2}+12f(x)=x 2 +12. If \displaystyle nn is a positive number such that \displaystyle f\left(3n\right)=3f\left(n\right)f( 3n)=3f(n), what is the value of \displaystyle nn?

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

5

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cool? what is the actuall ?

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