Quartic Equations and Repeated Solutions of Algebra

University:
High School
Course:
High School Algebra
Academic year:

2020
Views:

432

Pages:

5
Author:

discuta0m

4.5 Solving Polynomial Equations (continued) 2. EXPLORATION: Quartic Equations and Repeated Solutions First Choice: Factor!!! Work with a partner. Determine whether each quartic equation has repeated solutions using the graph of the related quartic function or a table of values. Explain your reasoning. Then solve each equation. 1 a. 4x⁴ + 5x² - 2x = 0 x(4x³ + 5x - 2) Technically Not Factorable ... but we can still solve. b. x⁴ - 2x³ - x² + 2x = 0 x³(x - 2) - x(x - 2) (x³ - x)(x - 2) x(x² - 1)(x - 2) x(x + 1)(x - 1)(x - 2) x = 0 x + 1 = 0 x - 1 = 0 x - 2 = 0 x = -1 x = 1 x = 2