Warm Up Evaluate each expression for the given value of x .

1. Warm Up Evaluate each expression for the given value of x. 1. 2x + 3; x = 22.x2+ 4; x = –3 3. –4x – 2; x = –1 4. 7x2 + 2x = 3 Identify the coefficient in each term. 5. 4x36. y3 7. 2n78. –54 7 13 2 69 4 1 –1 2

2. Graph the line with the given the slope and y-intercept. y intercept = 4

3. Scientific notation is a method of writing numbers that are very large or very small. A number written in scientific notation has two parts that are multiplied. The first part is a number that is greater than or equal to 1 and less than 10. The second part is a power of 10.

4. Learning Targets Students will be able to: Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions.

5. A monomial is a number, a variable, or a product of numbers and variables with whole-number exponents. The degree of a monomial is the sum of the exponents of the variables. A constant has degree 0.

6. A. F. D. E. 4p4q3 2c3 1.5k2m 4x Find the degree of each monomial. 3 7 B. 7ed 1 2 C. 3 3 0 The degree of a monomial is the sum of the exponents of the variables. A constant has degree 0.

7. Remember! The terms of an expression are the parts being added or subtracted. See Lesson 1-7.

8. A polynomialis a monomial or a sum or difference of monomials. The degree of a polynomial is the degree of the term with the greatest degree.

9. B. Find the degree of each polynomial. A. 11x7 + 3x3 D. x3y2 + x2y3 – x4 + 2 7 5 4 C. 5x – 6 1 The degree of a polynomial is the degree of the term with the greatest degree.

10. Polynomials that contain only one variable are usually written in standard form. The standard form of a polynomial that contains one variable is written with the terms in order from greatest degree to least degree. When written in standard form, the coefficient of the first term is called the leading coefficient.

11. 6x – 7x5 + 4x2 + 9 –7x5 + 4x2 + 6x + 9 2 Degree 1 5 2 5 1 0 0 Write the polynomial in standard form. Then give the leading coefficient.

12. Remember! A variable written without a coefficient has a coefficient of 1. y5 = 1y5

13. y2 + y6 – 3y y6 + y2 – 3y Degree 6 6 1 2 1 2 Write the polynomial in standard form. Then give the leading coefficient.

14. 16 – 4x2 + x5 + 9x3 x5 + 9x3 – 4x2 + 16 Degree 0 2 5 3 5 3 2 0 Write the polynomial in standard form. Then give the leading coefficient.

15. 18y5 – 3y8 + 14y –3y8 + 18y5 + 14y Degree 8 1 5 8 5 1 Write the polynomial in standard form. Then give the leading coefficient.

16. Terms Name 1 Monomial 0 Constant 2 Binomial 1 Linear 3 Trinomial Quadratic 2 Polynomial 4 or more Cubic 3 Quartic 4 Quintic 5 6 or more 6th,7th,degree and so on Some polynomials have special names based on their degree and the number of terms they have. Problem 1 Problem 2

17. 4y6 – 5y3 + 2y – 9 is a 6th-degree polynomial Classify each polynomial according to its degree and number of terms. A. 5n3 + 4n Degree 3 Terms 2 cubic binomial B. 4y6 – 5y3 + 2y – 9 Degree 6 Terms 4 C. –2x linear monomial. Degree 1 Terms 1 Tables

18. constant monomial Classify each polynomial according to its degree and number of terms. a. x3 + x2 – x + 2 cubic polynomial Degree 3 Terms 4 b. 6 Degree 0 Terms 1 c. –3y8 + 18y5+ 14y 8th-degree trinomial Degree 8 Terms 3 Tables

19. –144 + 220 76 A tourist accidentally drops her lip balm off the Golden Gate Bridge. The bridge is 220 feet from the water of the bay. The height of the lip balm is given by the polynomial –16t2 + 220, where t is time in seconds. How far above the water will the lip balm be after 3 seconds? –16t2 + 220 –16(3)2 + 220 –16(9) + 220 feet HW: p. 479/18-72 EVEN