CHAPTER 9 REVIEW WORKSHEET
9.1 Naming Polynomials by degree and number of terms
Degree
Name Using Degree
Number
of Terms
Name Using Number of Terms
Example
1
1
7x
2
2
4t2-6
3
3
8h3+5d-2
4
4
9yk3-8j+4d2-6
0
1
7
9.1 Combining “Like” Terms via Addition and Subtraction meaning combine “x with x” and “x2 with x2”
1. (8x2+8+4x) – (-2x-3x2+10)
2. (6w2-3w+1)+(8-5w-8w2)
REMEMBER STANDARD FORM
9.2 Multiplying and factoring
1. Lola or GCF: 3x3-12x2+15x
2. 12c (3c-5c2-4)
9.3 Multiplying Binomials and Trinomials
1. (y+4)(5y-8)
2. (4w-2)(12w3-w+1)
9.4 Multiplying Special Cases
1. (x+6)2
2. (x-5)(x+5)
CHAPTER 9 REVIEW WORKSHEET
1. Factor out the GCF (LOLA)
2. If the polynomial has two terms, look for difference of squares
3. If the polynomial has four terms, factor by grouping (might have to change order of terms)
4. No number in front of squared term, use regular diamond and then set up binomials
5. Number in front of squared term, use stoopid diamond and split middle term, then factor by grouping
9.5 Factoring Trinomials when a=1
1. k2+7k-18
2. h2+18hj+17j2
9.6 Factoring Trinomials when a>1
1. 54p2+87p+28
2. 36y2+114y-20
9.7 Factoring Special Cases
1. 25g2-30g+9
2. 4m2-81
9.8 Factor by grouping
1. 12v3-32v2+6v-16
2. 30m5+24m3n-35m2n2-28n3