How do I find the answer in dividing polynomials by binomials?
EX. 3m^2-4am^3+a^2m^4 / am-1
First factor the numerator: 3m^2 - 4am^3 a^2m^4 → m^2(3 - 4am + a^2m^2)
This factors further into m^2(am - 1)(am - 3)
The (am - 1) term in the numerator cancels with that in the denominator and you are left with:
m^2(am - 3)
.