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

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Presentation on theme: "Polynomials Unit: A-SSE.1a CLASSIFYING POLYNOMIAL Classifying polynomials by degree and terms."— Presentation transcript:

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 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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: Linear Constant Quadratic Cubic 3x³ - 5x -4x – 8 x² +2x – 3 4 1

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.

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