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...
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3/5 Honors Algebra Warm-upFind a if
(3a+2)2 (33a-10) = 81
32a+4 (33a-10) = 81
35a-6=34
5a-6=4
5a=10
a=2
HW: p.373 #58-6858.m4n3
59.12x8y4
60.a12x8
61.9c2d10
62.212
63.-108a3b9
64.See margin65.Sample (3,4) (4,3) (5,3)66. 2067. 3768. 10
• 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?
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
A. yes, monomial
B. yes, binomial
C. yes, trinomial
D. none of these
A. State whether 3x2 + 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
A. yes, monomial
B. yes, binomial
C. yes, trinomial
D. none of these
B. State whether 4a2 – 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
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
A. yes, monomial
B. yes, binomial
C. yes, trinomial
D. none of these
D. State whether 3y5 – 2y5 is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.
Write a Polynomial
GEOMETRY Write a polynomial to represent the area of the shaded region.
1. A
2. B
3. C
4. D
A. (4 – ) r2
B. r2
C. 4r2
D. 4r – r2
Write a polynomial to represent the area of the shaded region.
1. A
2. B
3. C
4. D
A. 3
B. 2
C. 0
D. 1
A. Find the degree of 11ab + 6b +2ac2 – 7.
1. A
2. B
3. C
4. D
A. 0
B. 2
C. 4
D. 3
B. Find the degree of 3r2 + 5r2s2 – s3.
1. A
2. B
3. C
4. D
A. 0
B. 2
C. 7
D. 3
C. Find the degree of 2x5yz – x2yz3.
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
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
Arrange Polynomials in Descending Order
A. A
B. B
C. C
D. D
A. 2 – x2 + 3x3 + 4x4
B. 4x4 + 3x3 – x2 + 2
C. –x2 + 2 + 3x3 + 4x4
D. 4x4 + 3x3 + 2 – x2
A. Arrange 3x3 + 4x4 – x2 + 2 so that the powers of x are in descending order.
A. A
B. B
C. C
D. D
A. 2y5 – 7y3x2 – 8x3y2 + 3x5
B. 3x5 + 2y5 – 7y3x2 – 8x3y2
C. 3x5 – 8x3y2 – 7y3x2 + 2y5
D. –7y3x2 + 2y5– 8x3y2 + 3x5
B. Arrange 2y5 – 7y3x2 – 8x3y2 + 3x5 so that the powers of x are in descending order.