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**Unformatted text preview: **1 MA 15200 Lesson 17 Section 1.6 I Solving Polynomial Equations Linear equation and quadratic equations of 1 variable are specific types of polynomial equations. Some polynomial equations of a higher degree can be solved by factoring. 1. Always look for a GCF first. 2. Factor using a difference of squares, trinomial methods, or grouping. Ex 1: 4 2 3 6 12 y y y- = Ex 4: 4 2 6 8 x x + + = Ex 2: 4 2 4 9 37 x x + - = Ex 5: 4 2 4 9 2 x x- + = Ex 3: 3 2 3 36 108 x x x +-- = II Solving radical equations Just as both sides of an equation may have the same number added or be multiplied by the same number, both sides of an equation may be raised to the same power. However, we must be careful. Power Property for equations: When both sides of an equation are raised to the same power, the solutions that result may be solutions of the original equation. For example: 2 2 solution is 2 4 solutions are 2 and 2 x x = =- 2 Raising both sides to the same power may result in an equation not equivalent to the original equation (different solution sets). original equation (different solution sets)....

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