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

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”

Factoring Polynomial Equations Sum Of Two Cubes Difference of Two Cubes

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

Marker Boards Out!

On your marker board

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

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

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

Solving Polynomial Equations X X

On your marker board Solve: X

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

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

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

X

X

X X

X

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

Factoring Polynomial Equations Factor by Grouping

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

On your marker board

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

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

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

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

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

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

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

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

X

X