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Mrs. Navickas

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Algebraically: 1 Solve for y, if necessary. If equation is given equal to zero or a y is not present, rewrite in descending powers of x. 2 Factor into all the prime factors 3 Set each prime factors equal to zero and solve for x. Click to hear:

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Example: Click here to hear explanation Factoring the left side gives: Apply the zero-product property to this gives: AND

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Checking on the Calculator: Open the scratchpad by clicking » Select the graph tab of the scratchpad On the entry line which says f1(x)= key in x 2 -5x-24 Press · The graph should appear on the screen; you might need to change the viewing window, but you need to see the x-axis from -10 to 10 for most of the problems so it should default to that. Now you want to find the roots, which is where the graph crosses the x-axis so continue on to the next page!

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Click the b button (shown in RED) and a drop-down menu appears on the screen as shown here: From the drop down select “Analyze Graph” or press 6.

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Another menu appears, and you need to select option 1, “Zero,” or press 1 and ·.

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The screen changes to a pointing finger and a vertical line, which you will move with the touchpad or the arrow keys to the left of where the graph crosses the x-axis at one point. Press ·. This give s the calculator the lower bound of the interval to find the zero.

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You then will get a screen with the lower bound set, asking you for the upper bound. Just slide the pointing finger to the right of the point where the graph crosses the x-axis and again press ·. The ROOT is the x-value of the point displayed!

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Now you need to repeat the process all over to find the other root, which is on the right side.

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After you solve the equations and find the roots algebraically, you should check your work on the calculator, especially if you think you made a mistake!

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