Solving Equations Containing Trinomials

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Presentation transcript:

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

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

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

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

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

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

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

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