Question

when factoring perfect square trinomials, the expression is rewritten as $(mx + n)^2$, where $mx$ and $n$ represent the ______ of the terms $a$ and $c$, respectively.

Explanation:

For a perfect square trinomial of the form $m^2x^2 + 2mnx + n^2 = (mx + n)^2$, $mx$ is the square root of the leading term $a = m^2x^2$, and $n$ is the square root of the constant term $c = n^2$. So the blank refers to square roots.

Answer:

square roots