Polynomials slide show - Polynomials The exciting and...

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01/24/12 1 Polynomials The exciting and fascinating functions!!! -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10
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01/24/12 2 Three Parts of a Polynomial Coefficient Variable Exponent polynomial coefficient variable exponent 4x 3 4 x 3 7y 7 y 1 -b -1 b 1 -- 13 -- 13 Any letter o
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3 01/24/12 Classification By Degree Terms Name Polynomial Degree Terms Name 5y 1 1 Linear monomial 3x 3 +2 3 2 Cubic binomial 2x 2 -6x-1 2 3 Quadratic trinomial b 5 -b 3 -b-1 5 4 Quintic polynomial
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01/24/12 4 Vocabulary 1. Degree of a polynomial means the highest exponent 2. Standard form means writing polynomial in order of decreasing exponents 3. Evaluating means replacing the variable(s) with a given number and simplifying.
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01/24/12 5 Graphs -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10
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6 01/24/12 Factoring Sum and differences of two cubes (a 3 -b 3 ) = (a-b)(a 2 +ab+b 2 ) 8-x 6 = (2-x 2 )(4+2x 2 +X 4 ) (a 3 +b 3 ) = a 2 -ab+b 2 ) Try to factor : 27y 3 +64
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01/24/12
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Polynomials slide show - Polynomials The exciting and...

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