A quadratic equation is written in the Standard Form,

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A quadratic equation is written in the Standard Form,

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Presentation transcript:

A quadratic equation is written in the Standard Form, Solving Quadratic Equations by Factoring A quadratic equation is written in the Standard Form, where a, b, and c are real numbers and . Examples: (standard form)

If a and b are real numbers and if , then or . Solving Quadratic Equations by Factoring Zero Factor Property: If a and b are real numbers and if , then or . Examples:

If a and b are real numbers and if , then or . Solving Quadratic Equations by Factoring Zero Factor Property: If a and b are real numbers and if , then or . Examples:

Solving Quadratic Equations: 1) Write the equation in standard form. 11.6 – Solving Quadratic Equations by Factoring Solving Quadratic Equations: 1) Write the equation in standard form. 2) Factor the equation completely. 3) Set each factor equal to 0. 4) Solve each equation. 5) Check the solutions (in original equation).

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring If the Zero Factor Property is not used, then the solutions will be incorrect

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring