Algebra II
Name:
Factoring Review
Vocabulary (In-Class), Example (In-Class), Practice Problems (Homework), Activity (In-Class)
Vocabulary – Fill in the blanks with the appropriate terminology.
1)
is the reverse process of distributing.
2) The first step in any factoring problem is
3) The
method is used for polynomials with four or more terms.
4) Name the three methods we discussed for factoring trinomials:
5) In the list below, circle all the rational numbers.
2
–5
10
3i
0.5
¼
3.2
–π
5 – 2i
Example Problem – Factor the following expression completely using rational numbers.
–2x4y + 8x2y + 90y
Practice Problems – Factor the following expressions completely using rational numbers.
1) 81n2 – 16
2) 7a2bc + 6ab2c – abc2
3) 3x2 + 3x – 90
4) 8r2 + 6r – 5
5) x3 + 9x2 – 4x – 36
6) mn + m + 3n + 3
Activity – Inner Circle/Outer Circle
I am the expert on problem #
. The final answer to my question is
Show all work for your problem using every method below.
Guess & Check
Box Method
Master-Product Method
Show your work on a separate paper. Record your final answers in the space below.
1)
10)
19)
2)
11)
20)
3)
12)
21)
4)
13)
22)
5)
14)
23)
6)
15)
24)
7)
16)
25)
8)
17)
26)
9)
18)
27)
Factor the following
expression completely
using rational numbers.
1) n2 + 9n + 14
Factor the following
expression completely
using rational numbers.
10) n2 – 4n + 3
Factor the following
expression completely
using rational numbers.
19) n4 – 2n2 – 8
Factor the following
expression completely
using rational numbers.
2) 3n2 + 17n + 10
Factor the following
expression completely
using rational numbers.
11) 4n4 – 12n2 – 27
Factor the following
expression completely
using rational numbers.
20) n2 – 4
Factor the following
expression completely
using rational numbers.
3) n2 – 1
Factor the following
expression completely
using rational numbers.
12) 5n2 – 7n + 2
Factor the following
expression completely
using rational numbers.
21) 9n2 – 4
Factor the following
expression completely
using rational numbers.
4) 3n4 + 30n2 + 75
Factor the following
expression completely
using rational numbers.
13) n2 – 100
Factor the following
expression completely
using rational numbers.
22) n2 – 16n + 28
Factor the following
expression completely
using rational numbers.
5) 9n5 + 12n3 + 4n
Factor the following
expression completely
using rational numbers.
14) n2 – 5n – 6
Factor the following
expression completely
using rational numbers.
23) n2 – 36
Factor the following
expression completely
using rational numbers.
6) 4n2x3 – 9x3
Factor the following
expression completely
using rational numbers.
15) 25n2 – 49
Factor the following
expression completely
using rational numbers.
24) 11n2 + 14n – 16
Factor the following
expression completely
using rational numbers.
7) 10n2 – 19n + 6
Factor the following
expression completely
using rational numbers.
16) n2 – 64
Factor the following
expression completely
using rational numbers.
25) n2 – 121
Factor the following
expression completely
using rational numbers.
8) n2 + 6n – 27
Factor the following
expression completely
using rational numbers.
17) 16n2 – 81
Factor the following
expression completely
using rational numbers.
26) –2n2 + 34n – 144
Factor the following
expression completely
using rational numbers.
9) –7n2 + 4n + 3
Factor the following
expression completely
using rational numbers.
18) x4 + 6x2 + 8
Factor the following
expression completely
using rational numbers.
27) –5n2 + 20