1 / 18

Factoring and Solving Polynomials

Learn how to factor and solve higher-degree polynomials using special factoring patterns, grouping, and the zero product property. Practice solving polynomial equations and evaluate your understanding with a standardized test practice.

ttrevino
Download Presentation

Factoring and Solving Polynomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. WARM UP Multiply the polynomial. 1.(x + 2)(x + 3) 2.(2x– 1)(2x + 1) 3. (x – 7)2 4. 3x2(x + 5)

  2. Factor and Solve Polynomials EQ: How can you solve a higher-degree polynomials equation? Assessment: Students will write a summary on factoring polynomials using the zero product property.

  3. Factored completely Can I factor anything out of all the terms?

  4. Key Terms • Factored Completely - written as a product of unfactorable polynomials with integer coefficients. Ex. 2(x + 1)(x - 4)

  5. Find a common monomial factor Factor the polynomial completely. a. x3 + 2x2 – 15x b. 2y5 – 18y3 c. 4z4 – 16z3 + 16z2 Can I factor anything out of all the terms?

  6. You Try It! Factor the polynomial completely. 1. x3 – 7x2 + 10x 2. 3y5 – 75y3 3. w3 – 27 Can I factor anything out of all the terms?

  7. Sum and Difference of Cubes

  8. Key ConceptsSpecial Factoring Patterns Sum of Two Cubes Ex. Difference of Two Cubes Ex.

  9. You Try It Factor the polynomial completely. 1. 125x 3 + 216 2. 8y 3 – 64

  10. Factoring by Grouping

  11. Key Terms: Factor by Grouping – pairs of terms that have a common monomial factor. Ex.

  12. Factor by Grouping Factor the polynomial completely.

  13. You Try It! Factor the polynomial completely. x3 + 6x2– 7x – 42

  14. Solve Polynomial Equations

  15. Solve Polynomial Equations Find the real-number solutions of the equation. 9. 2x5 + 24x = 14x3

  16. You Try ItStandardized Test Practice

  17. One Last Question On your 3X5 card answer the statement using the options below: I was bored during this lesson. • Strongly Disagree • Disagree • Strongly Agree • Agree

  18. HOMEWORK Workbook – Pg. 83 – 84 # 1,3,5,9,17-19,23-25 • Write your Summary to the Essential Question

More Related