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POLYNOMIAL FUNCTIONS WORKSHEET Use synthetic substitution to find each value for P(x) = 4x3 - 3x2 +5. 1) P(-2) 2) P(3) 3) P(-1/2) Use synthetic division to find the remainder when x5 - 3x3 + x2 - 3 is divided by each of the following: 4) (x 1) 5) (x + 1 ) 6 (x 2) 7) If two factors of x4 - 10X3 + 35x2 - 50x + 24 are x - 1, and x 3, find the remaining factors. 8) You wish to enclose a rectangular field with a fence down the middle (see diagram below). You only have 900 feet of fencing available. What is the maximum area which can be enclosed? 9) You are the manager for Travel Lite Bus Company. Your bus system carries 2000 passengers per day at a rate of 20 cents per passenger. You want to make a rate change, w 1 - VPOLYNOMIAL FUNCTIONS WORKSHEET but estimate that for every 5 cent increase in the bus fare you Will lose 200 passengers. What rate should you charge to maximize revenue? 10) Find a cubic equation with roots 4, 2 + 31. 11) Find a quadratic equation with roots 3 5i. 12) Identify the sum and product of the roots for each of the following equations: a)2x2-4X+7=o b)4X3-3x2-5x+2=0 |\\J 00