Algebra and Numbers

Factoring Trinomials

100

Factor the following 

x²+5x+4

What is 

(x+4)(x+1)

200

Factor the following 

x²-7x+10

What is 

(x-5)(x-2)

300

Factor the following 

2x²+13x+6

What is 

(2x+1)(x+6)

400

Factor the following

6x²+11x+4

What is 

(3x+4)(2x+1)

500

Factor the following

4x³+26x²+12x

What is 

2x(x+6)(2x+1)

Greatest Common Factor

100

Find the GCF of 

5x-25

What is 5

200

Find the GCF of 

10x²-100x

What is 10x

300

The GCF of 

6x⁴+3x²+9x

What is 3x

400

The GCF of 

27x⁵y⁴+54x³y⁴-81x²y⁴

What is 27x²y⁴

500

What is the GCF's of 

(10x⁵y⁴z³+20x³y³z³)-(16a³b²-8ab)

What are 10x³y³z³ and 8ab

Multiplying Polynomials

100

Find the product of 

2x(x+1)

What is 

2x²+2x

200

Find the product of 

3x²(2x²+9x+3)

What is 

6x⁴+27x³+9x²

300

Find the product of 

(x+7)(x-2)

What is 

x²+5x-14

400

Find the product of 

(2x-1)(2x+6)

What is 

4x²+10x-6

500

Find the product of 

(6x-2y)(x+3y)

What is 6x²+16xy-6y²

Difference of Squares

100

Factor the Difference of Squares 

(x²-36)

What is 

(x+6)(x-6)

200

Factor the Difference of Squares

(y²-9)

What is 

(y+3)(y-3)

300

Factor the Difference of Squares

(4m²-81) 

What is 

(2m+9)(2m-9)

400

Factor the Difference of Squares 

3x³-18x

What is 

2x(4x-3)(4x+3)

500

Factor the Difference of Squares

27x⁴-12y⁴

What is 

3(3x²+2y²)(3x²-2y²)