Factoring Polynomial Methods Review Math 8

Polynomial GCF

100

The GCF of 12x² + 3x

What is 3x?

200

The GCF of 

25x³ + 55x² - 10x

 What is 5x?

300

The factors of this polynomial 

4x⁴ + 16x³ - 8x² + 12x

What is 4x?

400

The factors of 

8x⁵y³ + 24x³y² - 12x²y

What are 4x²y?

500

The factors of 

15x⁴y³ + 25x³y² + 20x²y

What are 5x²y?

Factoring Binomials

100

Factor  2x² - 16

What is 2x(x-8)

200

Factor  x² - 4x

What is x(x-4)?

300

Factor 2x^2 + 72x

What is 2x(x+36)?

400

Factor 12x²y - 15xy

What is 3xy(4x-5)

500

Factor x² + 9

What is 1(x²+9)?

Factoring Trinomials

100

The factors of 

x² + 3x - 40

What are (x + 8)(x - 5)?

200

The factors of 

x² - 9x + 18

What are (x - 6)(x - 3)?

300

The factors of 

x² + 3x - 28

What are (x + 7)(x - 4)?

400

The factors of 

x² + 9x - 52

What are (x - 4)(x + 13)?

500

The factors of 

x² - 15x + 36

What is (y - 12)(y - 3)?

Factoring Trinomials (Grouping)

100

The factors of 

2x² + 3x - 2

What are (x + 2)(2x - 1)?

200

The factors of 

5x² - 22x - 15 

What are (5x + 3)(x - 5)?

300

The factors of 

9x² - 12x + 4

What are (3x - 2)² or 

(3x - 2) and (3x -2)?

400

The factors of 

6x^{2 +} 17x + 12 

What is (3x + 4)(2x + 3)?

500

The factors of 

4x² -7x + 3

What are (4x - 3) and (x - 1)?

Solving Polynomials

100

Solve (x+9)(x+8)=0

What is -9 and -8

200

Solve

x(x+3)=0

What is 0 and -3?

300

Solve

(x-6)(x+7)=0

What is -7 and 6?

400

Solve

x²+3x=0

What is -3 and 0? 

500

Solve

x²+3x+2=0

What is -2 and -1?