6-1:polynomial hmwk: wkbk pg. 40. definitions monomial: a number or a product of numbers and...
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6-1:POLYNOMIAL
Hmwk: WKBK pg. 40
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Definitions
Monomial: a number or a product of numbers and variables with WHOLE number exponents
Polynomial: is a monomial or a sum or difference of monomials
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Degree
Of a monomial: the sum of the exponents of the variables
Of a polynomial: is given by the monomial within it with the highest degree
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Leading Coefficient
The coefficient of the first term when in standard form
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Classify by Terms
Number of Terms
Name Example
1 Monomial 3x
2 Binomial 3x + 2
3 Trinomial 4x2+ 3x + 2
*Above that just say a polynomial with x number of terms
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Classify by Degree
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Adding and Subtracting Polynomials
Write answer in standard form:
3 2 2(5 12 6 ) (15 3 2)x x x x
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Examples
Add or Subtract. Write your answer in standard form. Classify by terms and degree. What is the leading coefficient?
2 2(1 ) (3 2 5)x x x
2 2 3( 36 6 11) (6 16 5)x x x x
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Graphing and Finding Real Zeros Examples on Board
Describe the graph, and find and identify the real zeros