1. Lesson 3 Menu Five-Minute Check (over Lesson 7-2) Main Ideas and Vocabulary Targeted TEKS Example 1: Identify Polynomials Example 2: Write a Polynomial Example 3: Degree of a Polynomial Example 4: Arrange Polynomials in Ascending Order Example 5: Arrange Polynomials in Descending Order

2. Lesson 3 MI/Vocab polynomial binomial trinomial degree of a monomial degree of a polynomial Find the degree of a polynomial. Arrange the terms of a polynomial in ascending or descending order.

3. Lesson 3 Ex1 Identify Polynomials State whether each expression is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

4. A.A B.B C.C D.D Lesson 3 CYP1 A.yes, monomial B.yes, binomial C.yes, trinomial D.none of these A. State whether 3x 2 + 2y + z is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

5. A.A B.B C.C D.D Lesson 3 CYP1 A.yes, monomial B.yes, binomial C.yes, trinomial D.none of these B. State whether 4a 2 – b –2 is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

6. A.A B.B C.C D.D Lesson 3 CYP1 A.yes, monomial B.yes, binomial C.yes, trinomial D.none of these C. State whether 8r – 5s is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

7. A.A B.B C.C D.D Lesson 3 CYP1 A.yes, monomial B.yes, binomial C.yes, trinomial D.none of these D. State whether 3y 5 is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

8. Lesson 3 Ex2 Write a Polynomial GEOMETRY Write a polynomial to represent the area of the shaded region. WordsThe area of the shaded region is the area of the rectangle minus the area of the triangle. Variablesarea of the shaded region = A height of rectangle = 2h area of rectangle = b(2h)

9. Lesson 3 Ex2 Write a Polynomial Area of shaded region = rectangle area – triangle area. Answer: Answer Equation

10. Lesson 3 CYP2 1.A 2.B 3.C 4.D A.4r 2 –  r 2 B.  r 2 C.4r 2 D.4r –  r 2 Write a polynomial to represent the area of the green shaded region.

11. Lesson 3 Ex3 Degree of a Polynomial Find the degree of each polynomial. Interactive Lab: Exploring Polynomials

12. 1.A 2.B 3.C 4.D Lesson 3 CYP3 A.3 B.2 C.0 D.1 A. Find the degree of 11ab + 6b +2ac 2 – 7.

13. 1.A 2.B 3.C 4.D Lesson 3 CYP3 A.0 B.2 C.4 D.3 B. Find the degree of 3r 2 + 5r 2 s 2 – s 3.

14. 1.A 2.B 3.C 4.D Lesson 3 CYP3 A.0 B.2 C.7 D.3 C. Find the degree of 2x 5 yz – x 2 yz 3.

15. Lesson 3 Ex4 A. Arrange the terms of 16 + 14x 3 + 2x – x 2 so that the powers of x are in ascending order. 16 + 14x 3 + 2x – x 2 = 16x 0 + 14x 3 + 2x 1 – x 2 x 0 = 1 Answer: = 16 + 2x – x 2 + 14x 3 0 < 1 < 2 < 3 Arrange Polynomials in Ascending Order

16. Lesson 3 Ex4 B. Arrange the terms of 7y 2 + 4x 3 + 2xy 3 – x 2 y 2 so that the powers of x are in ascending order. 7y 2 + 4x 3 + 2xy 3 – x 2 y 2 = 7y 2 + 4x 3 + 2x 1 y 3 – x 2 y 2 x = x 1 Answer: = 7y 2 + 2xy 3 – x 2 y 2 + 4x 3 0 < 1 < 2 < 3 Arrange Polynomials in Ascending Order

17. A.A B.B C.C D.D Lesson 3 CYP4 A.–3x 4 – 2x + 6x 2 + 1 B.1 – 2x + 6x 2 – 3x 4 C.–3x 4 + 6x 2 – 2x + 1 D.1 + 6x 2 – 2x– 3x 4 A. Arrange 6x 2 – 3x 4 – 2x + 1 so that the powers of x are in ascending order.

18. A.A B.B C.C D.D Lesson 3 CYP4 A.4x 3 yz – x 2 + 2xy 4 + 3 B.2xy 4 + 3 + 4x 3 yz – x 2 C.3 + 4x 3 yz – x 2 + 2xy 4 D.3 + 2xy 4 – x 2 + 4x 3 yz B. Arrange 3 + 2xy 4 + 4x 3 yz – x 2 so that the powers of x are in ascending order.

19. Lesson 3 Ex5 A. Arrange 8 + 7x 2 – 12xy 3 – 4x 3 y so that the powers of x are in descending order. 8 + 7x 2 – 12xy 3 – 4x 3 y = 8x 0 + 7x 2 – 12x 1 y 3 – 4x 3 yx 0 = 1 and x = x 1 Answer: = – 4x 3 y + 7x 2 – 12xy 3 + 83 > 2 > 1 > 0 Arrange Polynomials in Descending Order

20. Lesson 3 Ex5 B. Arrange a 4 + ax 2 – 2a 3 xy 3 – 9x 4 y so that the powers of x are in descending order. a 4 + ax 2 – 2a 3 xy 3 – 9x 4 y = a 4 x 0 + a 1 x 2 – 2a 3 x 1 y 3 – 9x 4 y 1 x 0 = 1 and x = x 1 Answer: = – 9x 4 y + ax 2 – 2a 3 xy 3 + a 4 4 > 2 > 1 > 0 Arrange Polynomials in Descending Order

21. A.A B.B C.C D.D Lesson 3 CYP5 A.2 – x 2 + 3x 3 + 4x 4 B.4x 4 + 3x 3 – x 2 + 2 C.–x 2 + 2 + 3x 3 + 4x 4 D.4x 4 + 3x 3 + 2 – x 2 A. Arrange 3x 3 + 4x 4 – x 2 + 2 so that the powers of x are in descending order.

22. A.A B.B C.C D.D Lesson 3 CYP5 A.2y 5 – 7y 3 x 2 – 8x 3 y 2 + 3x 5 B. 3x 5 + 2y 5 – 7y 3 x 2 – 8x 3 y 2 C. 3x 5 – 8x 3 y 2 – 7y 3 x 2 + 2y 5 D. –7y 3 x 2 + 2y 5 – 8x 3 y 2 + 3x 5 B. Arrange 2y 5 – 7y 3 x 2 – 8x 3 y 2 + 3x 5 so that the powers of x are in descending order.