Use the AC method to factor $9x^2-30x+25$.

Given a trinomial: $3x^2+kx+4$ which is factored as: $(3x+m)(x+n)$, which condition must $m$ and $n$ satisfy in order for the FOIL expansion to give back the original trinomial expression?

Factor by trial-and-error: $12x^2+7x-10$

A manufacturing model predicts profit: $P\left(t\right)=2t^2-11t-21$ dollars, where $t$ is in thousands of units. Factor $P\left(t\right)$ completely to identify production thresholds (in thousands of units) and interpret the roots.

Which is the correct expansion of $(x+6)(x-2)$?