Assignment:
Q1. Factor each polynomial completely.
1. x3 2x2 y2 + xy3
Q2. Factor each trinomial using the ac method.
1. 8x2 - 10 x - 3
Q3. Factor each polynomial completely
1. 8b2 + 24 b + 18
2. 3x2 - 18x - 48
Q4. Solve each equation
1. x3 = 4x
2. (x - 3)2 + (x + 2)2 = 17
Q5. Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Q6. Winter wheat. While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
Provide complete and step by step solution for the question and show calculations and use formulas.