I. Polynomials: Perform the indicated operations. A. 1. (3x² - 5x + 4) + (7x² + 9x - 8) 2. (7x² - 5x + 3) - (-2x² + 6x - 4) 3. 5x(x - 4) - 3x(2x + 1) 4. (6x² y)(4x³ y² ) 5. (3x - 8)(4x + 1) 6. (2x² + 3x - 1)(x² + 5x + 4) 7. (4a³ )² 8. (5x - 3)² 9. (5x³ y³ )/(xy² ) 10. (14x³ - 22x)/(2x) 11. (2x³ + x - 4)/(x - 2) B. 1. Subtract x² + 4x - 3 from 2x² + 7x - 8. 2. What is the degree of the polynomial 4x² + 7x³ - 3x + 9 ? II. Factoring. A. Completely factor. 1. 3x² - 9x - 30 2. 6x² - 7x - 10 3. 50x² - 32 4. 49x² - 42x + 9 5. x² - 5x - 36 6. 125x³ - 64 7. 27x³ + 8 B. Solve for x. 1. 2x² - 3 = -5x 2. 4x² - 20x + 25 = 0 3. 5x² + 6x - 8 = 0 C. Stated Problems. 1. The base of a triangle is four feet shorter than twice its altitude. If the area of the triangle is 48 square feet, find its dimensions. 2. The base of a triangle is four feet shorter than twice its altitude. If the area of the triangle is 48 square feet, find its dimensions.
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