How do you determine how to rewrite the middle term of a trinomial that has a leading coefficient?

To rewrite the middle term of a trinomial with a leading coefficient, first identify the trinomial in the form ( ax^2 + bx + c ). Next, multiply the leading coefficient ( a ) by the constant term ( c ). Then, find two numbers that multiply to ( ac ) and add up to ( b ). Finally, use these two numbers to split the middle term ( bx ) into two terms, allowing you to factor the trinomial.