Algebra 1 Chapter 8 Polynomials and Factoring

Adding and Subtracting

100

–6a + 3a

What is -3a

200

(3x² + 5) + (16x² + 7)

What is 19x² + 12

300

(11n – 4) – (5n + 2) 

What is 6n - 6

400

 (3d² + 8d – 2) -(2d² – 7d + 6) 

d² +15d - 8

500

(4a + 24) - (2a + 6)

2a +18

Multiplying and Factoring GCF

100

2x(x + 8)

What is 2x² + 16x

200

Simplify 3m² (4 + m)

What is 3m³ + 12m²

300

Find the GCF of 4t³ + 24t

What is 4t

400

Factor GCF 8 t⁴ + 20t³

What is 4 t³

500

Simplify 5y(y + 2) 

What is 5y² +10y

Multiplying Binomials & Special Cases

100

(y – 4)(y + 7)

What is y² + 3y - 28

200

(3x + 1)(5x – 3)

What is 15x² - 4x - 3

300

(x + 3)(x² – 2x + 4)

What is x³ + x² -2x + 12

400

(5s + 2)²

What is 25s² +20s + 4

500

(x+8)(x-9)

x²-x-72

Zero Product Property

100

(x+1)(x-2)=0

-1, 2

200

(x+3)(x-9)=0

-3, 9

300

(x+10)(x-9)=0

-10, 9

400

(x+8)(x-8)=0

-8, 8

500

(x+20)(x-10)=0

-20, 10

Factoring and Solving

100

Factor and then solve:

x²-2x=0

0, 2

200

Factor and then solve: 

5x²-5x=0

0, 1

300

Factor and then solve: 

x²-3x=0

3, 0

400

Factor and then solve

2x²+4x=0

0, -2

500

x² = 4x

0, 4