1. Warm Ups Preview 12-1 Polynomials 12-2 Simplifying Polynomials
12-3 Adding Polynomials
12-4 Subtracting Polynomials
12-5 Multiplying Polynomials by Monomials
12-6 Multiplying Binomials

2. Identify the base and exponent of each power.
12-1 Polynomials
Warm Up
Identify the base and exponent of each power.
a 3. x5
Determine whether each number is a whole number. –
3; 4
2; a
x; 5
yes no
yes

3. 12-2 Simplifying Polynomials
Warm Up
Identify the coefficient of each monomial.
1. 3x ab
–cb3
Use the Distributive Property to simplify each expression.
5. 9(6 + 7) 6. 4(10 – 2) 3 1 x 2 1 2 –1
117 32

4. Find the perimeter of each rectangle. 4. a 10 ft by 12 ft rectangle
12-3 Adding Polynomials
Warm Up
Combine like terms.
1. 9x + 4x 2. –3y + 7y
3. 7n + (–8n) + 12n
Find the perimeter of each rectangle.
4. a 10 ft by 12 ft rectangle
5. a 5 m by 8 m rectangle
Simplify.
6. 3(2x2 – x) + x2+ 1
13x 4y
11n
44 ft
26 m
7x2 – 3x + 1

5. Write the opposite of each integer. 1. 10 Subtract. 3. 19 – (–12) Add.
12-4 Subtracting Polynomials
Warm Up
Write the opposite of each integer.
1. 10
Subtract.
3. 19 – (–12)
Add.
5. (3x2 + 7) + (x2 – 3x)
6. (2m2 – 3m) + (–5m2 + 2)
–10
2. –7 7 31
4. –16 – 21
–37
4x2 – 3x + 7
–3m2 – 3m + 2

6. 12-5 Multiplying Polynomials by Monomials
Warm Up
Multiply. Write each product as one power.
1. x · x
2. 62 · 63
3. k2 · k8
· 192
5. m · m5
· 265
7. Find the volume of a rectangular prism that measures 5 cm by 2 cm by 6 cm. x2 65
k10
197 m6
2611
60 cm3

7. 4. Find the area of a rectangle with length 16 cm and width 21 cm.
12-6 Multiplying Binomials
Warm Up
Multiply.
1. x(x + 2)
2. –3(p – 4)
3. 2x(3x – 7)
4. Find the area of a rectangle with length 16 cm and width 21 cm.
x2 + 2x
–3p + 12
6x2 – 14x
336 cm2