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mgb5e_ppt_6_6 - 6.6 Solving Quadratic Equations by...

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§ 6.6 Solving Quadratic Equations by Factoring
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Martin-Gay, 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.
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Martin-Gay, 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
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Martin-Gay, Beginning Algebra, 5ed 4 Solve x 2 – 5 x = 24. First write the quadratic equation in standard form. x 2 – 5 x – 24 = 0 Now we factor the quadratic using techniques from the previous sections.
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