Sum 3/5 Honors Algebra Warm-up Find a if (3 a+2 ) 2 (3 3a-10 ) = 81 3 2a+4 (3 3a-10 ) = 81 3 5a-6 =3 4 5a-6=4 5a=10 a=2.

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sum 3/5 Honors Algebra Warm-up Find a if (3 a+2 ) 2 (3 3a-10 ) = a+4 (3 3a-10 ) = a-6 =3 4 5a-6=4 5a=10 a=2

HW: p.373 # m 4 n x 8 y 4 60.a 12 x c 2 d a 3 b 9 64.See margin 65.Sample (3,4) (4,3) (5,3)

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

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.

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.

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.

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 – 2y 5 is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

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

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

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

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.

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.

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.

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

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 x 0 + a 1 x 2 – 2a 3 x 1 y 3 – 9x 4 y 1 Answer: = – 9x 4 y + ax 2 – 2a 3 xy 3 + a 4 4 > 2 > 1 > 0 Arrange Polynomials in Descending Order

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

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.