Name _________________________________________________________ Date _________
7.1
CW 1: Adding and Subtracting Polynomials Notes
Polynomials
A polynomial is a monomial or a sum of monomials. Each monomial is called a term of the
polynomial. A polynomial with two terms is a binomial. A polynomial with three terms is a
trinomial.
Binomial
Trinomial
5x + 2
x + 5x + 2
2
The degree of a polynomial is the greatest degree of its terms. A polynomial in one variable is in standard form when
the exponents of the terms decrease from left to right. When you write a polynomial in standard form, the coefficient of
the first term is the leading coefficient.
In Exercises 1–8, find the degree of the monomial.
1. − 6s
2. w
3. 8
4. − 2abc
5. 7x 2 y
6. 4r 2 s 3t
7. 10mn3
8.
2
3
In Exercises 9–12, write the polynomial in standard form. Identify the degree and leading
coefficient of the polynomial. Then classify the polynomial by the number of terms.
Standard Form
9.
10.
Degree
Leading Coefficient
Classification
x + 3x 2 + 5
5y
11. 3 x 5 + 6 x8
12. f 2 − 2 f + f 4
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In Exercises 13–20, find the sum or difference.
13.
(− 4 x
15.
( x2
17.
(g
19.
(− x 2
+ 9) + (6 x − 14)
+ 3 x + 5) + ( − x 2 + 6 x − 4)
− 4) − (3 g − 6)
− 5) − ( − 3 x 2 − x − 8)
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14.
(− 3a
16.
(t 2
18.
( − 5h
20.
(k 2
− 2) + (7 a + 5)
+ 3t 3 − 3) + ( 2t 2 + 7t − 2t 3 )
− 2) − (7 h + 6)
+ 6k 3 − 4) − (5k 3 + 7 k − 3k 2 )
Algebra 1
Student Journal
207
Name _________________________________________________________ Date _________
CW 1: Adding and Subtracting Polynomials
7.1
HW 1: P. 362 #5-49 odds, skip #41 AND 62-64 all. SHOW WORK!
How Does A Flea Travel So Fast?
Write the letter of each answer in the box containing the exercise number. Show work on a separate page!!!
Find the sum or difference.
1.
(6 x
+ 5) + ( − 3 x + 7)
2.
(− 9 x
3.
(2 x
− 8) − ( 4 x − 2)
H. x 3 − 6 x 2 + 8 x + 6
4.
(5 x
+ 8) − (6 x + 2)
C. − 5 x 2 + 2 x + 18
5.
(3 x 2
− 6 x − 7) + ( − 2 x 2 − 4 x + 12)
6.
(− x 2
− 5 x + 8) − ( 4 x 2 − 7 x − 10)
7.
(6 x 2
− 3 x + 10) − ( − 6 x 2 + 11x + 9)
8.
(−13x3
9.
(7 x 3
Y. − x − 10
− 13) + (8 x + 3)
I. 3 x + 12
G. −14 x3 + 11x 2 − 27 x + 1
B. x 2 − 10 x + 5
I. 7 x 3 − 2 x 2 − x + 33
+ 15 x 2 − 12 x) + ( − x3 − 4 x 2 − 15 x + 1)
K. 12 x 2 − 14 x + 1
N. − 2 x − 6
− x + 14) − ( 2 x 2 − 19)
10.
(8 x − 3x
11.
(− 5 x
12.
Answers
3
H. 21x 2 + 5 x + 8
− 5) + ( 4 x − 6 x + 11)
3
2
T. 3 x 3 − 2 x 2 − 14 x − 16
− 16) − ( − 3 x3 + 2 x 2 + 9 x)
I. − x + 6
The amount of merchandise (in millions) that store A sold can be represented by A = 13 x 2 + 8 x − 3. The
amount of merchandise (in millions) that store B sold can be represented by B = 8 x 2 − 3 x + 11. Find the total
amount of merchandise that stores A and B sold.
5
2
9
11
6
12
10
1
7
4
3
8
_
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