2/10/17 Honors Algebra Warm-up

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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

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

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

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

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

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

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

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

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

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

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

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

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

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 – 12xy3 + 8 3 > 2 > 1 > 0 Lesson 3 Ex5

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

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. –x2 + 2 + 3x3 + 4x4 D. 4x4 + 3x3 + 2 – x2 A B C D Lesson 3 CYP5

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