How to Factor a Second-Level Polynomial Using the Quadratic Equation

In algebra, the term "polynomial" refers to an equation with different powers of variables. A second-level polynomial is one where the highest power in the equation is a two: x^2 + 4x -3 = 0, for example. This tutorial shows how to solve for "x" in this equation using the quadratic formula.

Things You'll Need

• Second-level polynomial equation Quadratic formula

Instructions

1. Set the polynomial equation equal to zero by moving all terms to one side.

2. Set the variables to follow the pattern ax^2 + bx + c, where "a" is the coefficient of the "x-squared" term, "b" is the coefficient of the "x" term, and "c" is the constant. These values will be plugged into the quadratic formula.

3. Use the quadratic formula: (-b±√(b^2-4ac))/2a.

   Following the pattern ax^2 + bx + c, plug the "a," "b" and "c" coefficients into the formula. This should result in two answers due to the ± operation. Both answers are legitimate and show what "x" equals.

Tips & Warnings

• Always set the equation equal to zero before proceeding. Keep track of your signs. If b = (-3), then (-b) = 3 in the formula.

Resources

• Read this Article in Spanish