Section 1.6 class notes_0

# Section 1.6 class notes_0 - Section 1.6 Other Types of...

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Section 1.6 Other Types of Equations Objective 1: Solving Higher Order Polynomial Equations So far in this text we have learned methods for solving linear equations and quadratic equations. Linear equations and quadratic equations are both examples of polynomial equations of first and second degree, respectively. In this section we will first start by looking at certain higher order polynomial equations that can be solved using special factoring techniques. One useful technique is to factor out an expression included in each term, or remove the common factor . 1.6.2 Solve. Use a comma to separate answers as needed. Simplify. In an equation of the form 3 2 0 ax bx cx + + = above, do not divide both sides by x . This would produce the equation 2 0 ax bx c + + = , which has only two solutions. The solution 0 x = would be “lost.” In addition, because 0 x = is a solution of the original equation, dividing by x would mean dividing by 0, which of course is undefined and produces incorrect results. Sometimes polynomials can be solved by grouping terms and factoring (especially when the polynomial has

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Section 1.6 class notes_0 - Section 1.6 Other Types of...

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