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## Warm-up

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**Warm-up**Graph the related polynomial function. Then tell the number of real roots of the polynomial equation.**2.5 Using Technology to Approximate Roots of Polynomial**Equations • x-intercepts • y-intercept • Local minimum • Local maximum**2.5 Using Technology to Approximate Roots of Polynomial**Equations Calculator**2.5 Using Technology to Approximate Roots of Polynomial**Equations Finding zeros on a table. Root Change of Sign**2.5 Using Technology to Approximate Roots of Polynomial**Equations Finding zeros on a table. Better Approximations**2.5 Using Technology to Approximate Roots of Polynomial**Equations there exists**2.5 Using Technology to Approximate Roots of Polynomial**Equations**Section 2.5**Worksheet #1-4 Page 78 #7,9,11,15**Make a sketch and write an equation for each situation:**1. A picture has a height that is 4/3 its width. It is to be enlarged to have an area of 192 square inches. What will be the dimensions of the enlargement? 2. A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway? 3. You have to make a square-bottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard, cutting three-inch squares from each corner, scoring between the corners, and folding up the edges. What should be the dimensions of the cardboard, to the nearest quarter inch?**Let "w" stand for the width of the picture. The**height h is 4/3 the width, so h = (4/3)w. Then the area is A = hw = [(4/3)w][w] = (4/3)w2 = 192. I need to solve this "area" equation for the value of the width, and then back-solve to find the value of the height. (4/3)w2 = 192 w2 = 144 w = ± 12