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Published bySharyl Hart Modified over 6 years ago

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DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)

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6-3 SOLVING QUADRATIC EQUATIONS BY FACTORING OBJECTIVES STUDENTS WILL BE ABLE TO: 1)SOLVE QUADRATIC EQUATIONS BY FACTORING 2)WRITE A QUADRATIC EQUATION WITH GIVEN ROOTS

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METHODS OF SOLVING QUADRATIC EQUATIONS 1)Graphically (Sections 6.1, 6.2 and 6.6) 2) Factoring (Section 6.3) 3) Completing the Square (Section 6.4) 4) Quadratic Formula (Section 6.5)

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ZERO PRODUCT PROPERTY For any real numbers a and b, if ab = 0, then either a = 0 or b = 0.

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To solve a quadratic equation by FACTORING: 1) Set the equation equal to zero (collect all terms on one side of the equation) 2) Completely factor the equation. 3) Set each factor equal to zero and solve.

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Solve each equation by factoring. 1)2)

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3)4)

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5)6)

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Try these. 7)8) 9)10) 11)12)

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If given the roots to a quadratic equation, we can actually work backwards to determine what the equation is. Example: Write a quadratic equation with the roots -4 and 7.

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Try this one. Write a quadratic equation with the roots 4 and -5.

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APPLICATION (FROM TEXT P. 304)

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HOMEWORK Text p. 303 # 3 Text p. 304 #s 14-38 even

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