 This section covers using factoring to algebraically solve for x equations having the form
ax^{2} + bx + c = 0, a not zero,
which is the standard form of a quadratic equation in one variable.
 ZeroFactor Property
 For all realvalued factors a and b
 if a · b = 0,
 then one (or both) of a and b must be 0.
 To Solve a Quadratic Equation in One Variable by Factoring
 Get 0 on one side of the "=" sign and everything else on the other side.
 Simplify by combining like terms (on the side of the equation without the 0).
 Factor (the side of the equation without the 0).
 Set to 0 each factor containing the variable.
(This is application of the zerofactor property.)
 To determine the solutions, solve each equation obtained in step 4.
 Check the solutions in the original equation.
 All quadratic equations have 2 solutions.
 Sometimes the 2 solutions have the same value.
 Not all quadratic equations have realvalued solutions.
 Finding the Intercepts of the Graph of a Quadratic Equation
 Considering the graph of y = ax^{2} + bx + c,
 To find the xintercepts
 Set y = 0 and solve for x.
 That means, solve 0 = ax^{2} + bx + c.
 The xintercepts are (x_{1}, 0) and (x_{2}, 0),
if the solutions are called x_{1} and x_{2}.
 To find the yintercept
 Set x = 0 and solve for y.
 That means, y = c.
 The yintercept is (0, c).
