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Unformatted text preview: § 6.6 Solving Quadratic Equations by Factoring MartinGay, Beginning Algebra, 5ed 2 Zero Factor Theorem Quadratic Equations • Can be written in the form ax 2 + bx + c = 0. • a , b and c are real numbers and a ≠ 0. • This is referred to as standard form . Zero Factor Theorem • If a and b are real numbers and ab = 0, then a = 0 or b = 0. • This theorem is very useful in solving quadratic equations. MartinGay, Beginning Algebra, 5ed 3 Steps for Solving a Quadratic Equation by Factoring 1) Write the equation in standard form so that one side of the equation is 0. 2) Factor the quadratic expression completely. 3) Set each factor containing a variable equal to 0. 4) Solve the resulting equations. 5) Check each solution in the original equation. Solving Quadratic Equations MartinGay, Beginning Algebra, 5ed 4 Solve x 2 – 5 x = 24. • First write the quadratic equation in standard form....
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This note was uploaded on 06/10/2009 for the course MAC 1103 taught by Professor Prescott during the Spring '09 term at PascoHernando Community College.
 Spring '09
 prescott
 Algebra, Factor Theorem, Factoring, Real Numbers, Equations

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