Educational Opportunity p. 260, #3, 23, 24, 37, 42, 51, 60, 63, 69, 74, 78, 80, 90, 92, 101, 110, 113 Honey’s Ready for some work…Are you??

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Presentation transcript:

Educational Opportunity p. 260, #3, 23, 24, 37, 42, 51, 60, 63, 69, 74, 78, 80, 90, 92, 101, 110, 113 Honey’s Ready for some work…Are you??

Chapter 5-2 Solving Quadratic Equations by Factoring Goals: Factor quadratic expressions and solve quadratic equations by factoring Find zeroes of quadratic functions

Review Label the vertex, axis of symmetry, and x-intercepts Write the linear system as a matrix equation Solve the matrix equation

Find the Determinant [ ] [-2 3 2] [5 8 1]

Guide to Factoring Pull out Greatest Common Factor Identify if the quadratic is a binomial or trinomial If binomial it must be a DIFFERENCE OF SQUARES If trinomial…

Trinomials Two types of trinomials For type #1, find the factors of c that add up to b Those factors (x + __)(x + __) go in blanks For type #2, multiply a & c together. Find the factors of ac that add up to b. Then factor by grouping Those blanks are the two factors found that add up to c. Find the GCF of both parenthesis & rewrite with two ( )( )

Factor, Factor, Factor

Factoring with Zero Product Property Find the “zeroes” of a quadratic are the x-intercepts of the graph

Intercept form & zeroes Write the quadratic function in intercept form and give the function’s zeroes.

Stained Glass You have made a rectangular stained glass window that is 2 feet by 4 feet. You have 7 square feet of clear glass to create a border of uniform width around the window. What should the width of the border be?

Great America You own an amusement park that averages 75,000 visitors per year who each pay a $12 admission charge. You plan to lower the admission price to attract new customers. It has been shown that each $1 decrease in price results in 15,000 new visitors. What admission should you charge to maximize your annual revenue? What is the maximum revenue?