Algebraic Expression kind of polynomialspptx

kind of polynomial according to the number of terms

1. Variable, Constant, and Other Terms Related to Algebraic Equation

2. CLASSROOM RULES: R - espect yourself and others. E - ngage in learning. A - sk questions. D -o your best. Y - ou can do it!

3. Lesson Jumpstart What would you do when someone asks you to show a happy expression?

4. Lesson Jumpstart How about when someone asks you your expression when your angry?

5. Lesson Jumpstart How about when someone asks you to give them an algebraic expression - what would you do? An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division

6. Lesson Jumpstart How about when someone asks you to give them an algebraic expression - what would you do? Also, expressions in algebra are used to represent mathematical relationships and to solve problem.

7. MOTIVATION 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH

8. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Example Add Dish on = ADDITION

9. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Example Sub Track Shun = SUBTRACTION

10. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Vary a bull = VARIABLE

11. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Con stunt = CONSTANT

12. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Co eff fish ent = COEFFICIENT

13. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Tear mmm = TERM

14. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Egss press shone = EXPRESSION

15. 1. Read the random word that will appear on your screen. 2. Speak aloud until you guess the right phrase based on the given words. 3. Answer before the time runs out. (20 secs) GUESS THE GIBBERISH Polly know me y'all = POLYNOMIAL

16. Variable, Constant, and Other Terms Related to Algebraic Equation

17. Example Algebraic Expressions

18. A symbol that represents an unknown value. VARIABLE

19. A symbol with exactly one number or a fixed value in its replacement set. Any number is a constant. CONSTANT

20. An algebraic expression is separated by plus or minus sign. TERM

21. The numerical factor of a term is called its numerical coefficient and the variable factor of a term is called literal coefficient

22. It refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable and written next to it. The leading coefficient is the number on the leading term. COEFFICIENT

23. Definition Algebraic Expressions An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, multiplication, division, etc.).

24. Definition POLYNOMIAL A polynomial is an algebraic expression that represents a sum or difference of one or more terms containing whole-number exponents on the variables.

25. An expression is not a polynomial if: 1. The exponent is a negative number, not a whole number or a variable. Example:  

26. An expression is not a polynomial if: 2. The variable is in the denominator. Example:  

27. An expression is not a polynomial if: 3. The variable is under the radical sign. Example:  

28. Degree of Term & Degree of a Polynomial The degree of a term is the exponent of its variable while the degree of the polynomial is the highest degree appearing in any of the terms in that polynomial.

29. Degree of Term & Degree of a Polynomial Example: the degree of the terms is as follows: has degree of 4, has degree of 2, has degree of 1, and 7 has degree of 0.  

30. Degree of Term & Degree of a Polynomial Since 4 is the highest degree, the degree of the polynomial is degree 4.  

31. Degree of Term & Degree of a Polynomial If a term consists of two or more variables, the degree of a term is the sum of the exponents of the variables. Example: we have the degree of each term as follows:  

32. Degree of Term & Degree of a Polynomial has degree 3 (1+2 = 3) has degree 6 (2+4 = 6) has degree 4 has degree 3 (1+2 = 3) has degree 6 (2+4 = 6) has degree 4 Since 6 is the highest sum of the exponent from the term, then the degree is 6.

33. Kinds of Polynomial according to the number of terms Number of Terms Kind of Polynomials Examples 1 Monomial Number of Terms Kind of Polynomials Examples 1 Monomial

34. Kinds of Polynomial according to the number of terms Number of Terms Kind of Polynomials Examples 2 Binomial By distributive:   Number of Terms Kind of Polynomials Examples 2 Binomial

35. Kinds of Polynomial according to the number of terms Number of Terms Kind of Polynomials Examples 3 Trinomial By distributive: Number of Terms Kind of Polynomials Examples 3 Trinomial

36. Kinds of Polynomial according to the number of terms Number of Terms Kind of Polynomials Examples 4 or more Multinomial Number of Terms Kind of Polynomials Examples 4 or more Multinomial

37. Kinds of Polynomials according to its degree Kinds of Polynomial in terms of Degree Degree Examples Constant 1, 5 or any number Linear 1 2x, x+1, 3x-2y+3 Quadratic 2 , +3 Kinds of Polynomial in terms of Degree Degree Examples Constant 1, 5 or any number Linear 1 2x, x+1, 3x-2y+3 Quadratic 2

38. 1. Find the numerical coefficient and literal coefficient of the following terms: a.) b.) 45xm c.)   Numerical coefficient: 7 Literal coefficient: Numerical coefficient: 45 Literal coefficient: Numerical coefficient: 32 Literal coefficient:  

39. 2. Which of the following statements is true? a.) 10 is a constant, z is a variable, and 10z is a variable. b.) 2 is a constant, p is a variable, and 2+p is a variable. c.) 12 is a constant, m is a variable, and 12+m is a constant. d.) 1 is a constant ANSWER: D

40. 3. Identify the constant and variables in the given expression: 3x + 9 Constant: 9 Variable: x 4. How many terms are there in the algebraic expression 2x+y -z? ANSWER: 3 TERMS

41. 5. Identify whether the following expressions are polynomials or not. a.) b.) c.) d.) e.)   Polynomial Not Polynomial Polynomial Polynomial Not Polynomial