Polynomials & Factoring Review

Dividing Variables

100

Simplify the following variables:

(x^23y^6)/(x^10y^9)

x^13/y^3

200

Simplify the following variables:

(w^3yd^20)/(w^7y^9d^13)

(d^7)/(w^4y^8)

300

Simplify the following variables:

(h^5p^4y^3)/(h^15p^2y^3)

p^2/h^10

Calculate GCF

100

Determine the GCF of:

w⁴+3w²

w²

200

Determine the GCF of: 

21r⁵-3r³+9r²

3r²

300

Determine the GCF of:

18m⁴ + 27m² - 9m⁵

9m²

400

Determine the GCF of:

10x³-4x²+24x-12x⁴

2x

500

Determine the GCF of:

9x⁷r³+30x⁵r⁶+25x⁸r⁴

x⁵r³

Factor out the GCF

100

Factor the polynomial

15g³-5g

5g(3g²-1)

200

Factor the polynomial

3g⁴+9g³-18g²

3g²(g²+3g-6)

300

Factor the polynomial 

16x² - 4

4(4x² - 1)

400

Factor the polynomial

16y^4x^8 + 12y^9x^3 + 20y^6

4y^4(4x^8 + 3y^5x^3 + 5y^2)

500

Factor the polynomial

22g^11f^7 - 11g^4f^5 + 33g^3f^6

11g^3f^5(2g^8f^2 - 1g + 3f)

Dividing Polynomials

100

Divide the following Polynomial:

(10y + 30x)/2

5y + 15x

200

Divide the following Polynomial:

(50g^5 + 15g^7)/(5g^2)

10g^3 + 3g^5

300

Divide the following Polynomial:

(3x^3 + 3x - 12x^7)/x

3x^2 + 3 - 12x^6

400

Divide the following Polynomial: 

(70y^8x^4 - 30y^7x^5)/(10y^3x^3)

7y^5x - 3y^4x^2

500

Divide the following Polynomial:

(6w^19 - 22w^11)/(2w^22)

3/w^3-11/w^11

Variety

100

What is the GCF of 12x² and 3x?   

3x

200

Is it a Monomial, Binomial, or Trinomial:

6y^7 - 4x^3

Binomial

300

Factor out the GCF:

What is the GCF of 10x⁵ and 40x²?  

10x²(x³ + 4)

400

What GCF does 44, 32 and 60 have?

4