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December 3-Operations with Polynomials 



Students understand how to complete simple operations such as add, subtract and multiply polynomials

 

 
 
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Published:  December 11, 2009
 
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Slide 1: Opening Assignment State the solution: f(5) = 2x3 – x2 + 6x
Slide 2: Polynomial Practice    In pairs of two, find the answer to the problems on the practice form. Each person must answer a question in their own color. Work as an overall group to try to find the answers.
Slide 3: Polynomial Practice Results 1. 2. 3. 1. 2. 3. 64 -22 1 x6y12 -110 25 x3y7
Slide 4: Polynomial Functions  Standard 2.6a-c:    Solve polynomial equations using various methods and tools which may include factoring and synthetic division. Sketch the graph of a polynomial function. Given the graph of a polynomial function, identify the x- and y-intercepts, relative maximums and relative minimums, using various methods and tools which may include a graphing calculator.
Slide 5: Polynomial Investigation 2    In your pairs, use your knowledge of like terms, distributive property and FOIL to add, subtract and multiply polynomials. Each person must answer a question in their own color. Double check each other’s work to ensure you have the right answer.
Slide 6: Polynomial Investigation 2  Students reveal their answers to the investigation.
Slide 7: ACT Tip   Questions sometimes test your knowledge of how properties operate. You need to know distributive, associate, etc.
Slide 8: Which of the following is an illustration of the distributive property? A. B. C. D. E. (12 • 25)(4) = 12(25 • 4) 7n + 2 – 3n = 7n – 3n + 2 (17)(b2)(5) = (17)(5)(b) 2 ab + ac = ba + ca x(x + 2) = x2 + 2x
Slide 9: Home Practice     Complete any problems in section 1 or 2 in chapter 6 (page 326 & 333) or (x4y7)-3 (10x3y5)-3 f(-1)=2x4 + x3 – 3x2 + 5x

   
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