5.5 Solving Quadratic Equations Using the Zero-Factor Property

Standard Form

Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative

Zero Factor Property

If two numbers have a product of 0, then at least one of the numbers must be 0. If ab=0, then either a=0 or b=0 (or both)

Surface area of a rectangular prism

SA=2lw+2lh+2wh

Steps to Solve a Quadratic Equation Using Zero-Factor Property

Step 1. Write the equation in standard form - that is, with all terms on one side of the equality symbol in descending powers of the variable and with 0 on the other side. Step 2. Factor completely Step 3. Apply the zero-factor property. Set each factor with a variable equal to 0 Step 4. Solve the resulting equations Step 5. Check each value in the original equation. Write the solution set

Parabola

The shape of the graph of a quadratic function

Quadratic Equation

an equation of the form ax² + bx + c = 0, where a ≠ 0 a, b, and c are real numbers, and a ≠ 0x the given form is called standard form

double solution

two solutions that are equal