Algebra Tiles
GCF
Factoring!!
Factoring.
Poly/Poly
Poly/Mono
100

Determine the dimensions of the rectangle in terms of x.  (Everything is positive)


(x+1)(x+1)

100

Find the GCF of the following:

3x2+27x

GCF = 3x

100

Factor the polynomial: 

5n2+19n+12

(5n+4)(n+3)

100

Factor the polynomial:

 p2+9p-36

What is (p+12)(p-3)?

100

Find the quotient: 

(x2-1)÷(x-1)

x+1

100

Simplify by dividing

(9x^2-3x+12)/(3x)

3x-1+4/x

200

Determine the dimensions of the rectangle in terms of x. (Everything is positive)

(x+2)(x+3)

200

Find the GCF of the following:

-10x2y3 + 60xy

GCF = -10xy

200

Factor the polynomial: 

x2-2x-99

What is (x-11)(x+9)?

200

Factor the polynomial:

 a2-13a-30

(a-15)(a+2)

200

Find the quotient: 

(2x2-x-15)÷(x-3)

(2x+5)

200

Simplify by dividing 

(4x^5-3x^3+4x-12)/(4x)

(x^4)-((3x^2)/4)+1-3/x

300

Determine the dimensions of the rectangle in terms of x. (Reds are negative)

(x-2)(x+3)

300

Find the GCF of the following:

12x2y2+32xy3

GCF = 4xy2

300

Factor the polynomial: 

4c2+36c+56

What is 4(c+7)(c+2)?

300

Factor the polynomial: 

2x2+5xy+2y2

(2x+y)(x+2y)


300

Find the quotient: 

(2v^2+11v+5)/(2v+1)

v+5

300

Simplify by dividing:

(3x^5y^2-15x^3y^4+6xy)/(9xy)

(x^4y)/3-(5x^2y^3)/3+2/3

400

Determine the dimensions of the rectangle in terms of x. (Reds are negative)

(x-3)(x-5)

400

Find the GCF of the following: 

24a3-48a2+72a6

GCF = 24a2

400

If a basketball court has an area of x2-4 what are the measurements of the length and width. 

(x-2) and (x+2)

400

Factor the polynomial: 5n2-5

What is 5(n-1)(n+1)?

400

Find the quotient:

(7a^2+53a+28)/(a+7)

7a+4

400

Simplify by dividing

(3x^3y^3-6xy-x^2y^2)/(3xy)


x^2y^2-2-(xy)/3

500

Determine the dimensions of the rectangle in terms of x. 

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

500

The volume of a wooden crate is 3y3+16y2+64y.  What are the possible dimensions of the crate? 

Factor the polynomial: 3y(y2+16y+64)


One side would be 3y, the other 2 would both by (y+8)

Factors are 3y(x+8)(x+8) or 3y(x+8)2


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