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Published byAlvin Hopkins Modified over 9 years ago

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An equation in the form … … can be solved using two methods discussed previously. Solving Equations Containing Trinomials 1.Factoring Method 2.Graphing Method

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Review of Factoring Method to Solve Equations 1.Move all non-zero terms to one side of the equation and simplify. 2.Factor the polynomial expression. 3.Set each factor containing a variable equal to zero. 4.Solve the resulting equations.

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Example 1: Move all terms to left side Factor Set each factor to zero Solve each equation. Solve the equation

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Review of Graphing Method to Solve Equations 1.Move all non-zero terms to one side of the equation and simplify. 2.Put the non-zero expression into y1 on the calculator and graph. 3.Determine the x-intercepts. 4.The x-values of the x-intercepts are the solutions to the equation.

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Example 2: Move all terms to left side Put the expression in for y1 and graph Solve the equation

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The x-intercepts are located at (-3,0) … … and (4,0) The solutions are

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Example 3: Move all terms to right side since the quadratic term is positive on that side Factor Set each factor to zero Solve each equation. Solve the equation

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