CLASSIFYINGALGEBRAICEXPRESSIONS
Define the word “mono”CLUE:
Define the word “bi”CLUE:
Define the word “tri”CLUE:
Define the word “poly”CLUE:
POLYNOMIALan algebraic expression that represents a sum of ONE or  MORE TERMS containingwhole number exponents on        t...
Remember the parts    of a term?
NUMERICAL COEFFICIENTThe number inan algebraicterm.
LITERAL COEFFICIENTA letter used torepresent anumber
EXAMPLES:                    4x Numerical coefficient   Literal coefficient                 -45 abcNumerical coefficient  ...
Examples:        3xy       2x + y    x2 – 2x + 6 2x3 - x2 + 4x - 10
NOT A POLYNOMIALVariable inside the radical sign         √ 3x       4x + √ 7y     5a – 3b + √ c
NOT A POLYNOMIALNegative exponents.   2x + y    -2   3x4 y-1 z3    m -3 + 8
NOT A POLYNOMIALVariable in the denominator       __2x + y__            z          __1__           2x
NOT A POLYNOMIAL..If there is/are….Variable/s inside the radical sign    Negative exponent/s.Variable/s in the denominator
CLASSIFICATION OF  POLYNOMIALS:MonomialBinomialTrinomial
MONOMIAL     apolynomial with ONE  TERM
Examples: x             -2xxyz         5x 2 y3 z 4            -4
BINOMIALa polynomial    withTWO TERMS
Examples: x+y          2x – 3y 4a + b 2    a 3 – bc2d-3m – n       m + _1_                     2
TRINOMIAL     a polynomial    with  THREE  TERMS
Examples:    x+y+z  2x – 3y – 4z  a 3 – 4b + c4
Classify the following          polynomials:1) 2x + 3          1) binomial2) a2 b4           2) monomial3) 5x – 3y + 4z   ...
• Polynomials are written in  descending order, the  coefficient of the first term  is the leading coefficient.
5x +    3x2   –7Polynomial or not a Polynomial: PolynomialClassification: TrinomialDescending order: 3x2 + 5x - 7Degree:  ...
-5x 3   +   12/x 2   + 4x + 9Polynomial or not a Polynomial:Classification:Descending order:Degree: 2Leading Coefficient:
8x 5   y3   –   5x 4   y6   +   6x 3   y 4Polynomial or not a Polynomial:Classification:Descending order:Degree:Leading Co...
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Classifying 111015055149-phpapp01

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Classifying 111015055149-phpapp01

  1. 1. CLASSIFYINGALGEBRAICEXPRESSIONS
  2. 2. Define the word “mono”CLUE:
  3. 3. Define the word “bi”CLUE:
  4. 4. Define the word “tri”CLUE:
  5. 5. Define the word “poly”CLUE:
  6. 6. POLYNOMIALan algebraic expression that represents a sum of ONE or MORE TERMS containingwhole number exponents on the variables
  7. 7. Remember the parts of a term?
  8. 8. NUMERICAL COEFFICIENTThe number inan algebraicterm.
  9. 9. LITERAL COEFFICIENTA letter used torepresent anumber
  10. 10. EXAMPLES: 4x Numerical coefficient Literal coefficient -45 abcNumerical coefficient Literal coefficient
  11. 11. Examples: 3xy 2x + y x2 – 2x + 6 2x3 - x2 + 4x - 10
  12. 12. NOT A POLYNOMIALVariable inside the radical sign √ 3x 4x + √ 7y 5a – 3b + √ c
  13. 13. NOT A POLYNOMIALNegative exponents. 2x + y -2 3x4 y-1 z3 m -3 + 8
  14. 14. NOT A POLYNOMIALVariable in the denominator __2x + y__ z __1__ 2x
  15. 15. NOT A POLYNOMIAL..If there is/are….Variable/s inside the radical sign Negative exponent/s.Variable/s in the denominator
  16. 16. CLASSIFICATION OF POLYNOMIALS:MonomialBinomialTrinomial
  17. 17. MONOMIAL apolynomial with ONE TERM
  18. 18. Examples: x -2xxyz 5x 2 y3 z 4 -4
  19. 19. BINOMIALa polynomial withTWO TERMS
  20. 20. Examples: x+y 2x – 3y 4a + b 2 a 3 – bc2d-3m – n m + _1_ 2
  21. 21. TRINOMIAL a polynomial with THREE TERMS
  22. 22. Examples: x+y+z 2x – 3y – 4z a 3 – 4b + c4
  23. 23. Classify the following polynomials:1) 2x + 3 1) binomial2) a2 b4 2) monomial3) 5x – 3y + 4z 3) Trinomial4) -8 4) monomial 5) NOT a5) 3a – 2b -3 polynomial
  24. 24. • Polynomials are written in descending order, the coefficient of the first term is the leading coefficient.
  25. 25. 5x + 3x2 –7Polynomial or not a Polynomial: PolynomialClassification: TrinomialDescending order: 3x2 + 5x - 7Degree: 2Leading Coefficient: 3
  26. 26. -5x 3 + 12/x 2 + 4x + 9Polynomial or not a Polynomial:Classification:Descending order:Degree: 2Leading Coefficient:
  27. 27. 8x 5 y3 – 5x 4 y6 + 6x 3 y 4Polynomial or not a Polynomial:Classification:Descending order:Degree:Leading Coefficient:

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