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Polynomials Unit: A-SSE.1a CLASSIFYING POLYNOMIAL

Polynomials Unit: A-SSE.1a CLASSIFYING POLYNOMIAL. Classifying polynomials by degree and terms. Polynomial Expression Vocabulary.

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Polynomials Unit: A-SSE.1a CLASSIFYING POLYNOMIAL

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  1. Polynomials Unit: A-SSE.1a CLASSIFYING POLYNOMIAL Classifying polynomials by degree and terms.

  2. Polynomial Expression Vocabulary • Polynomial- A polynomial is a mathematical expression (terms) or a sum of terms. Polynomial can be used to represent any number of terms.  Polynomial is often used to represent more than 3 terms. • Term-Mathematical expressions that contain constant (number) and variables (letters).  A number that is by itself is called constant and a number that is attached to a variable is called a coefficient. Terms are separated by addition or subtraction.Terms are joined together by multiplication. • A polynomial term cannot have a square root of a variable, no fractional exponents, and no variables in the denominator of any fraction. • Variables-A letter that represents a value or unknown. • Coefficient-a number that is attached to a variable by multiplication. (number in front of the variable) • Like Terms-have the same variable(s) and the same degree (exponent) for each variable.   • Factors-one of two or more numbers and/or variables, that when multiplied together produce a given product.

  3. Polynomial Expression Vocabulary https://www.youtube.com/watch?v=8SB41mrH4oo

  4. Identifying like terms https://www.youtube.com/watch?v=8GOo6QsFAEU

  5. Factors • https://www.youtube.com/watch?v=bpMODKm_8zU

  6. Classifying Polynomial • There are two different ways to classify polynomials. The first is by the number of terms and the second is by the degree (exponent).

  7. Classifying Polynomials by the number of terms https://www.youtube.com/watch?v=D-3NIysYshM

  8. CLASSIFYING POLYNOMIAL Monomial: Mon means one, a polynomial with one term. Examples of Monomials:*Terms are joined by a multiplication. • 2 • -4x • 100x² • 6x³y²

  9. CLASSIFYING POLYNOMIAL * Terms are separated by a + or - sign. • Binomial: Bi means two, a polynomial with two terms. • Examples of Binomials: • x² + 4 • -4x³ - 8 • 10x² +1 • 6x³y² - 12

  10. CLASSIFYING POLYNOMIAL Terms are separated by a + or - sign. Trinomial: Tri means three, a polynomial with three terms. Examples of Trinomials: • 4x² +2x + 4 • -4x³ - 8x² + 2 • 10x² -x +1

  11. How to classify polynomials by degree https://www.youtube.com/watch?v=kyylTeYWi-0

  12. CLASSIFYING POLYNOMIAL Name of Polynomial by degree: Constant 4 1 Linear -4x – 8 x² +2x – 3 Quadratic 3x³ - 5x Cubic

  13. Standard Form and Leading Coefficient • Standard Form of a polynomial:terms are placed in order from highest degree to lowest degree. • Leading Coefficient:the coefficient of the term of highest degree in a given polynomial. https://www.youtube.com/watch?v=53x8cIPf8X0

  14. Is the polynomial a terms or factor? • Terms: are separated by addition or subtraction. • Factors: are the numbers and/or variable multiplied together to make a product. and are terms because they are separated by an addition sign. is also a factor because is being multiplied by Inside the parenthesis and are terms because they are separated by an subtraction sign. and are also a factor because is being multiplied to

  15. Putting it all together • https://www.youtube.com/watch?v=h6YTILYLGKw

  16. Degree of a Monomial Note: You will not be formally assessed on this concept BUT you will need it for AZMerit and future math classes. https://www.youtube.com/watch?v=nXtDJ6JiPLQ

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