If you are using algebra tiles to factor a trinomial of the form ax2 + bx + c, when would you need to bring in zero pairs? Why?

The correct answer for the question that is being presented above is this one:

The trinomial form ax2 + bx + c is a quadratic form. We need to bring in zero pairs because we need to get the roots of that quadratic equation. The roots is referred to as the solutions or the possible value of x to make the equation true.