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Unit 4 Lesson 4: Solving Polynomial Equations State StandardsLesson Goals 3: Add, subtract, multiply and divide (including long division) polynomials. 4: Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes. Factor polynomial expressions Use factoring to solve polynomial equations ESLRs: Becoming Competent Learners and Complex Thinkers

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Previously in Math Factoring Quadratic Equations ▫Use the Distributive Property (look for a GCF) ▫Check for special case Perfect Square Trinomial Difference of Two Squares ▫“Unfoil” aka “The I-thing”

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Factoring Polynomial Equations Sum Of Two Cubes Difference of Two Cubes

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Are both terms a cube? Factoring Polynomial Equations Are both terms a cube?

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Marker Boards Out!

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On your marker board

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Solving Polynomial Equations Factor any way you can. Set each factor to zero Solve each “mini” equation.

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Solving Polynomial Equations Factor Set each factor to 0 Solve each “mini” equation X

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Solving Polynomial Equations Factor Set each factor to 0 Solve each “mini” equation X

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Solving Polynomial Equations X X

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On your marker board Solve: X

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On your marker board Find the real-number solutions of the equation: X

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p. 349: 33 – 40, 69, 71, 77, 83, 84 Change form stamp sheet

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p. 348: 33 – 40, 68, 71 77, 83, 84 Change form stamp sheet

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X

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X X

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X

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Chapter 6 Lesson 4b: Solving Polynomial Equations State StandardsLesson Goals 3: Add, subtract, multiply and divide (including long division) polynomials. 4: Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes. Factor polynomial expressions Use factoring to solve polynomial equations ESLRs: Becoming Competent Learners and Complex Thinkers

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Factoring Polynomial Equations Factor by Grouping

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Factoring Polynomial Equations Recap ▫Always look for common factors first ▫Check for Special Patterns Difference of Two Squares Perfect Square Trinomial Sum/Difference of Two Cubes ▫“I-Thing” quadratic equations ▫Look for ways to group

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On your marker board

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Previously in Math Solving Quadratic Equations ▫Factor ▫Square Root ▫Complete the Square ▫Quadratic Formula

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Solving Polynomial Equations Use the distributive property with the common factor 2y Use the Difference of Two Squares Pattern Set each factor to 0 Solve each “mini” equation

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Solving Polynomial Equations Set equal to zero Group and “undistribute” Gather parentheses Factor more? Solve

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Solving Polynomial Equations Set equal to zero Group and “undistribute” Gather parentheses Factor more? Solve

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Solving Polynomial Equations Group and “undistribute” Gather parentheses Factor more? Solve

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Solving Polynomial Equations “unfoil” (this is a perfect square trinomial) Square root Solve

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p. 349: 42 – 58 e, 70 – 84 e Change from stamp sheet

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p. 349: 42 – 58 e, 70 – 84 Change from stamp sheet

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X

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