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Mastering Polynomials: Worksheets & Homework Help for Polynomial Expressions

Enhance your skills in simplifying, factoring, and solving polynomial expressions and equations with guided practices and detailed explanations. Learn the FOIL method, special products of polynomials, and square patterns to excel in algebra. Includes word problems and practical applications.

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Mastering Polynomials: Worksheets & Homework Help for Polynomial Expressions

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  1. Do Now 2/6/19 • Take out HW from last night. • PuzzleTime worksheets 7.1 & 7.2 • Copy HW in your planner. • Text p. 375, #4-34 evens • Quiz Sections 7.1-7.4 Monday – 2/11 • Complete #43 & 48 from your text on page 370. 43) 48)

  2. HomeworkPuzzle Time worksheet 7.1 • Puzzle Time worksheet 7.2

  3. Learning Goal • SWBAT simplify, factor, and solve polynomial expressions and equations Learning Target • SWBAT use the square of a binomial pattern and the sum and difference pattern

  4. “Multiply Using FOIL” When multiplying a binomial and another polynomial use the method. FOIL First Outer Inner Last

  5. “Multiply Using FOIL” (x – 4) (3x + 2) combine like terms

  6. Section 7.3 “Special Products of Polynomials” When squaring binomials, you can use the following patterns to help you. Binomial Square Pattern (addition) (a + b)² a² + 2ab + b² (a + b)(a + b) (x + 5)² x² + 10x + 25 (x + 5)(x + 5)

  7. Section 7.3 “Special Products of Polynomials” When squaring binomials, you can use the following patterns below to help you. Binomial Square Pattern (subtraction) (a – b)² a² – 2ab + b² (a – b)(a – b) (2x – 4)² 4x² – 16x + 16 (2x – 4)(2x – 4)

  8. “Using the Binomial Square Patterns and FOIL” (a + 4)² (a + 4) (a + 4) square pattern combine like terms

  9. “Using the Binomial Square Patterns and FOIL” (5x – 2y)² (5x – 2y) (5x – 2y) square pattern combine like terms

  10. Sum and Difference Pattern (a + b) (a – b) a² – b² (a + b) (a – b) “The difference of two squares” combine like terms

  11. Sum and Difference Pattern (x + 3) (x – 3) x² – 9 combine like terms “The difference of two squares”

  12. Word Problem • You are designing a frame to surround a rectangular picture. The width of the frame around the picture is the same on every side. The dimensions of the picture are shown below 18 in. By 16in. Write a polynomial that represents the total area of the picture and the frame. x (2x + 16)(2x + 18) 18 in. FOIL 16in x x 4x² + 36x + 32x + 288 4x² + 68x + 288 x

  13. HomeworkText p. 375, #4-34 evens

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