Laboratory Report
Title: Polynomial Features
Materials utilized:
* A cylindrical object for instance a soup may or thermos
* Ruler or strapping measure
5. Graphing technology (e. g., graphing calculator or GeoGebra) Procedure
1 . Measure and record the size and elevation of the cylindrical object you have chosen in in .. Round to the nearest whole number. installment payments on your Apply the formula of an appropriate circular canister (V =В r2h) to find the amount of the object. (Note: Be sure to get the radius from the size measurement simply by dividing by simply 2 . )
Now assume you knew the volume of the object plus the relation in the height to the radius, nevertheless did not understand the radius. Reworking the equation with one variable might result in a polynomial equation that you may solve to find the radius. a few. Rewrite the formula using the variable by for the radius. Replacement the value of the amount found in step two for Sixth is v and share the height in the object regarding x in addition or minus a constant. For example , if the level measurement can be 4 inches longer than the radius, then this expression for the height will probably be (x + 4). 5. Simplify the equation and write it in standard form. Increase each term in the formula by 95 to eliminate any decimals, if necessary. 5. Find the methods to this equation algebraically making use of the Fundamental Theorem of Algebra, the Realistic Root Theorem, Descartes' Regulation of Indicators, and the Aspect Theorem. В
(Hint: If the numbers happen to be large, graph the function first applying GeoGebra to help you find one in the zeros. Use that actually zero to find the depressed equation which can be solved simply by factoring or the quadratic method. )В six. Substitute zero for the function note and, applying graphing technology, graph the function. 7. Answer the following questions:
* What does the Fundamental Theorem of Algebra indicate with respect to this formula? * Exactly what are the conceivable rational solutions of your formula? * How many likely positive, adverse and sophisticated...

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