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Mastering Polynomial Operations: Addition, Subtraction, Multiplication, and Division

In this comprehensive Algebra II lesson, we explore polynomial operations, including addition, subtraction, multiplication, and division. Students will engage with real-world applications, learning to find polynomials that represent measurements, such as total square footage in floor plans. Emphasis is placed on synthetic division and the Binomial Theorem, providing students practical methods to simplify expressions and solve polynomial equations. Homework assignments reinforce these concepts to ensure mastery and confidence in polynomial manipulation.

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Mastering Polynomial Operations: Addition, Subtraction, Multiplication, and Division

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  1. Academy Algebra II R4, R6: Polynomials: Add/Subtract/Mult/Divide (360 math instead of worksheet) HW: p.48-49 (30-50 eoe, 76-84 eoe, 90)

  2. 360 degree math (from worksheet)Perform the indicated operation.

  3. 360 degree math (from worksheet)Perform the indicated operation.

  4. 360 degree math (from worksheet)Perform the indicated operation. 19.) Find a polynomial that represents the total number of square feet for the floor plan shown:

  5. 360 degree math (from worksheet)Perform the indicated operation.

  6. Do Now 19.) Find a polynomial that represents the total number of square feet for the floor plan shown:

  7. Academy Algebra II R4, R6: Polynomials: Add/Subtract/Mult/Divide (Lesson: Long/Synthetic Division and Binomial Theorem) HW: p.49 (96, 98), p.60 (6, 10)

  8. Dividing Polynomials • Synthetic Division: Can only be used for problems where the divisor is in the form x + a.

  9. Divide. Use synthetic division if possible.

  10. Divide. Use synthetic division if possible.

  11. Divide. Use synthetic division if possible.

  12. Divide. Use synthetic division if possible.

  13. Divide. Use synthetic division if possible.

  14. Divide. Use synthetic division if possible.

  15. Simplify using Binomial Theorem (section 13.5) Simplify by hand or use Binomial Theorem: (a + b)n =

  16. Simplify.

  17. Simplify.

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