Name:
Name
Monomial
Examples
1. 3𝑥 4
2. 𝑎2
3. 5
(one term)
degree:4
degree:2
degree:0
1. 2𝑛3 − 𝑛
2. 𝑝 − 3
3. −3𝑎3 𝑏4 + 𝑎4 𝑏 5
Binomial
(two terms)
Trinomial
(three terms)
Polynomial
(one or more terms)
degree:3
degree:1
Non-Examples
1. 2𝑥 −4
2. 5√𝑚
2
3. 3𝑡 3
1.
2𝑥+1
𝑥
degree:9
2. √𝑐 3 − 2
1. −2𝑥 3 + 2𝑥 − 3
degree:3
1. 𝑥 −3 + 2𝑥 − 5
2. 𝑑(𝑑2 + 2𝑑 4 − 2)
degree:5
2. 2𝑥 + 3𝑥 − 5
degree:4
1. 3𝑞3 +
1. 3𝑥 4 + 2𝑥 3 − 5𝑥 + 1
2. 5𝑦 6
3. 12𝑥 2 +√3 𝑥3 −6𝑥4 + 1𝑥 − 3
degree:6
degree:4
𝑝
𝑞
2. 2𝑥 + 3√𝑥
1. EXPAND and SIMIPLIFY (Also, list the degree and leading coefficient of your answer).
b. (5x3 – 3x4 − 2x – 9x2 – 2) + (3x3 +2x2 – 5x – 7)
a. (7x  3)  (2  2x)
d.  23x  2 y   5x  6 y   2 x  7
c. 3( x  5)  8x

 

f. 2 x 3  5x  8  5x 3  9 x 2  11x  5
g. 2 x  33x  5

 
e. 2 x 2  5x  6 x 2  2 x

h. 2 x  5
2
M. Winking (Section 1-7)
p. 15
(1 Continued). EXPAND and SIMIPLIFY

i. 4 y 2 y 2  2 y

k. x  3x  5
j. - 6y 2 (3y 2 - 2y - 7)
l.
m.
Determine an expression that represents:
Determine an expression that represents:
Perimeter =
Perimeter =
Area =
Area =
2. Divide the following.
a.
32a 5  24a 3
8a 3
b.
21x 4  3x 3
3x 2
c.
36a 3d5  72a 2 d 3
6ad 2
3. Factor the GCF from each expression
a. 15x 4  3x 5
b. 16 x 2  24
b.
a.
c. 18x 4 y 7  36 x 3 y 6  42 x 5 y 5
c.
d. 3xx  3  2x  3
d.
M. Winking (Section 1-7)
p. 16