To factor a trinomial in the form ax^2 + bx + c, find all of the factor pairs that multiply into c, and isolate the pair that also adds up to form b. Substitute the pairs of factors into a pair of binomials that multiply together.
To solve by factoring, move all terms to the same side of the equation with subtraction or addition, and then find each factor in the equation. Setting each factor at zero provides all of the solutions to the equation.
A quadratic trinomial is normally factored as the product of two binomials. Using the generic formula abx^2 + cx + d for the trinomial, its factors are (ax + y) and (bx + z) if y times z equals d and az + yb = c.
Solving trinomial equations is a matter of determining the degree of the trinomial factoring according to the degree and the terms themselves and by then verifying that the factors found are the actual roots of the equation. These roots are the solutions to the equation...
Perfect square trinomials are quadratics obtained from squaring a binomial. Determining the binomial requires analyzing each term individually and then putting them together.
To solve quadratic equations by factoring, it's a matter of finding the x-intercepts of the graph, or the point at which the graph crosses the x-axis. Quadratics are in the form of ax^2 + bx + c = 0, so you have to simplify the equation into simple binomials.
Polynomial equations can be solved by factoring through the following steps. The first step is to write the equation in its correct form, which involves distributing the terms by removing all parentheses on both sides of the equation, combining all the like terms and wr...