1. 2/10/17 Honors Algebra Warm-up
Find a if
(3a+2)2 (33a-10) = 81
32a+4 (33a-10) = 81
35a-6=34
5a-6=4
5a=10
a=2
sum

2. Polynomial: a monomial or sum of monomials
Binomial: sum of 2 monomials
Trinomial: sum of 3 monomials
Degree of a monomial: sum of the exponents of all its variables.
Degree of a polynomial: greatest degree of any term in the polynomial.
Why do we need to know this vocabulary?
Lesson 3 MI/Vocab

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

4. A. State whether 3x2 + 2y + z is a polynomial
A. State whether 3x2 + 2y + z is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.
A. yes, monomial
B. yes, binomial
C. yes, trinomial
D. none of these A B C D
Lesson 3 CYP1

5. B. State whether 4a2 – b–2 is a polynomial
B. State whether 4a2 – b–2 is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.
A. yes, monomial
B. yes, binomial
C. yes, trinomial
D. none of these A B C D
Lesson 3 CYP1

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

7. D. State whether 3y5 – 2y5 is a polynomial
D. State whether 3y5 – 2y5 is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.
A. yes, monomial
B. yes, binomial
C. yes, trinomial
D. none of these A B C D
Lesson 3 CYP1

8. Write a Polynomial
GEOMETRY Write a polynomial to represent the area of the shaded region.
Lesson 3 Ex2

9. Write a polynomial to represent the area of the shaded region.
B. r2
C. 4r2
D. 4r – r2 A B C D
Lesson 3 CYP2

10. Find the degree of each polynomial.
Degree of a Polynomial
Find the degree of each polynomial.
Lesson 3 Ex3

11. A. Find the degree of 11ab + 6b +2ac2 – 7.
Lesson 3 CYP3

12. B. Find the degree of 3r2 + 5r2s2 – s3.
A. 0
B. 2
C. 4
D. 3 A B C D
Lesson 3 CYP3

13. C. Find the degree of 2x5yz – x2yz3.
A. 0
B. 2
C. 7
D. 3 A B C D
Lesson 3 CYP3

14. Arrange Polynomials in Descending Order
A. Arrange 8 + 7x2 – 12xy3 – 4x3y so that the powers of x are in descending order.
= 8x0 + 7x2 – 12x1y3 – 4x3y
Answer: = – 4x3y + 7x2 – 12xy > 2 > 1 > 0
Lesson 3 Ex5

15. Arrange Polynomials in Descending Order
B. Arrange a4 + ax2 – 2a3xy3 – 9x4y so that the powers of x are in descending order.
= a4x0 + a1x2 – 2a3x1y3 – 9x4y1
Answer: = – 9x4y + ax2 – 2a3xy3 + a4 4 > 2 > 1 > 0
Lesson 3 Ex5

16. A. Arrange 3x3 + 4x4 – x2 + 2 so that the powers of x are in descending order.
A. 2 – x2 + 3x3 + 4x4
B. 4x4 + 3x3 – x2 + 2
C. –x x3 + 4x4
D. 4x4 + 3x3 + 2 – x2 A B C D
Lesson 3 CYP5

17. B. Arrange 2y5 – 7y3x2 – 8x3y2 + 3x5 so that the powers of x are in descending order.
A. 2y5 – 7y3x2 – 8x3y2 + 3x5
B. 3x5 + 2y5 – 7y3x2 – 8x3y2
C. 3x5 – 8x3y2 – 7y3x2 + 2y5
D. –7y3x2 + 2y5– 8x3y2 + 3x5 A B C D
Lesson 3 CYP5