Gwenyth deposited money into her savings account that is compounded annually at an interest rate of 15%. Gwenyth thought the equivalent quarterly interest rate would be 3.75%. Is Gwenyth correct? If she is, explain why. If she is not correct, state what the equivalent quarterly interest rate is and show how you got your answer.

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2nd one in the first row is correct

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