Name
Date
LESSON
Practice A
7-5
Polynomials
Class
Find the degree and number of terms of each polynomial.
1. 4w
2. 9x 3 ⫹ 2x
2
2
Degree:
3
Degree:
1
Terms:
3. 4p 5 ⫺ p 3 ⫹ p 2 ⫹ 11
2
Terms:
5
Degree:
4
Terms:
Fill in each blank with monomial, binomial, or trinomial.
trinomial
monomial
binomial
4. A
5. A
6. A
is a polynomial with three terms.
is a polynomial with one term.
is a polynomial with two terms.
Write each polynomial in standard form.
Then, give the leading coefficient.
2
7. 12 ⫹ 3x ⫺ x
8. g 4 ⫺ 2g 3 ⫺ g 5
9. k 2 ⫹ k 4 ⫺ k 3 ⫹ 1
3x 2 x 12
g 5 g 4 2g 3
k4 k3 k2 1
3
1
1
First, classify each polynomial by its degree (linear, quadratic, cubic, or quartic).
Then, classify it by its number of terms (monomial, binomial, or trinomial ).
10. 109z
11. 3x ⫹ 11
2
quadratic monomial
12. b 3 ⫺ 2 ⫹ 2b 4
linear binomial
quartic trinomial
13. Complete the table by evaluating the polynomial for each value of z.
Polynomial
z0
z1
z2
z 1
z 2
2z ⫹ 3z ⫺ 3
3
2
13
2
5
2
RIN
14. The surface area of a cylinder is approximated by the
2
polynomial 6r ⫹ 6rh, where r is the radius and
h is the height of the cylinder. Find the approximate
surface area of the cylinder at right.
HIN
72 in
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All rights reserved.
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