Chapter 7 Polynomial Equations And Factoring - 7.1 Polynomials Worksheet Page 5

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Exercises
7.1
Help with Homework
π
Is −
1.
WRITING
a monomial? Explain your reasoning.
3
2.
VOCABULARY
When is a polynomial in one variable in standard form?
3.
OPEN-ENDED
Write a trinomial of degree 5 in standard form.
4.
WHICH ONE DOESN’T BELONG?
Which expression does not belong with the other
three? Explain your reasoning.
− 1
3
+ 4a
x
b − 2
− 6y
8
a
z
8
Use algebra tiles to represent the polynomial.
2
2
+ 2x − 4
− x + 3
5. x
6. 2x
Find the degree of the monomial.
4
4
8
10. −
1
1
7. 4g
8. 23x
9. s
t
9
1
2
2
4
13. 2 π
14. − 3q
4
6
11. 1.75k
12.
m
n
rs
8
Write the polynomial in standard form. Identify the degree and
classify the polynomial by the number of terms.
15. 7 + 3p
2
6
17. 8d − 2 − 4d
3
16. 2w
2 2
1
3
2
+ 1.2c
4
− c
11
− v
12
20. −
y −
2
18. 6.5c
19. 4v
y
4
8
5
5
22. √
7
− 19 + √
3
23. π r
2
8
+ 2r
5
21. 7.4z
3 n
2 n
r
7
24.
ERROR ANALYSIS
Describe and correct
− 5m
+ m
2
5
4
polynomial: 3m
the error in writing the polynomial
in standard form.
standard form: −5m
+ 3m
+ m
5
2
4
4
π r
3
25.
SPHERE
The expression
represents the
3
volume of a sphere with radius r. Why is this
expression a monomial? What is its degree?
332
Chapter 7
Polynomial Equations and Factoring

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