Chapter 3 Test Review
Algebra IIB
Name: ____________
Date: ____________
Identify the degree of the monomials.
1)
6x2
2)
5x
3)
-9
4)
8x2y5z
Rewrite the polynomials in standard form. Then identify the leading coefficient, degree, number
of terms and name.
5)
6 + 7x – 4x3 + x2
6)
x2 – 3 + 2x5
Add or Subtract. Write your final answer in standard form.
7)
(2x2 – 2x + 6) + (11x3 – x2 – 2 + 5x)
9)
Graph the polynomial function on the calculator. Describe the graph and identify the
number of real zeros.
8)
(12x2 + x) – (6 – 9x2 + x7 – 8x)
f(x) = -2x3 + 3x2 – 1
10)
The height, in feet, of a baseball after being struck by a bat can be approximated by
h(t) = -16t2 + 100t + 5, where t is measured in seconds. Evaluate h(5) and describe what
the values mean.
Multiply.
11)
2x(3x2 + 1)
12)
(x – 4)2
13)
(y + 2)(y2 + 2y – 12)
Divide. Use the method indicated.
14)
(x2 + 2x + 6) ÷ (x – 3)
long division
15)
(x2 + 4x + 1) ÷ (x – 5) synthetic
Factor completely:
16)
2x3 + 2x2 – x – 1
17)
2x4 + 54x
18)
x2 + 5x + 6
19)
64x3 – 1
20)
3x4 + 24x
21)
2x2 – 4x + 2
Solve the following using factoring or synthetic division.
22)
3x3 + 4x2 – 6x – 8 = 0
23)
x5 – 2x4 – 24x3 = 0
24)
x4 – 9x2 = -20
25)
x3 + 10x2 + 17x – 28 = 0
26)
3x3 + 10x2 – 27x = 10
27)
3x4 – 23x3 + 19x2 + 27x + 6 = 0