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20 Math 98 Extended Assignment EA 1: Polynomials & Factoring Name: 1. The number of spheres in a triangular pyramid with x layers is given by the function The volume of a sphere of radius r is given by the function V (r)- where π can be approximated as 3.14. Gretas Chocolate has a window display of truffles piled in a rectangular pyramid formation 5 layers deep. a) If the diameter of each truffle is 3 cm, find the volume of Heliday Special Truffle Balls chocolate in the display b) fnlarge truffle were to have the same volume as the display of truffles, what would its diameter be? Articulate (write a sentence) the ERROR in the following and solve or simplify correctly 2. Solve2-28 3r Explain the Error 12-28 = 31 12 -3t-28 (t-7)(u+4) Answer: -71+4) Correct Solution: 3. Factor out the common factor forSx+30x3-40x 5x 30x 40x 5 Explain the Error Correct Solution:
4. Solve for f: (-123)-(+18)(+2) 5. Factor completely: 100xy-108x2y-30x,,2 6. Given that a is a natural number, perform the indicated operations: (3-2r+4) 3-2r-4)-(2+7)
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