Polynomials Review

Adding/Subtracting Polynomials

100

(2x^3-5x^2+x)+(2x^2+x^3-1)

3x^3-3x^2+x-1

200

(3x^2+x-6)+(x^2+4x+10)

4x^2+5x+4

300

(3x^2+2)-(4x^2-x-9)

-x^2+x+11

400

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

x^2-2x+13

500

(4d-6d^3+3d^2)-(9d^3+7d-2)

-15d^3+3d^2-3d+2

Multiplying Polynomials and FOIL

100

(x+3)(x-10)

x^2-7x-30

200

(x-2)(3x+11)

3x^2+5x-22

300

(5x-5)(-3x-7)

-15x^2-20x+35

400

Find the product

(x^2+4x-5)(2x-1)

2x^3+7x^2-14x+5

500

Find the product

(s^2+3s-6)(4s-2)

4s^3+10s^2-30s+12

Special Polynomials

100

Choose one of the following to solve:

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

(2x-3)^2=

(2x+3)^2=

4x^2-9

4x^2-12x+9

4x^2+12x+9

200

(5x-7)(5x+7)

25x^2-49

300

(9x-6)^2

81x^2-108x+36

400

(4x+8)^2

16x^2+64x+64

500

State all rules 

(a+b)^2=

(a-b)^2=

(a+b)(a-b)=

a^2+2ab+b^2

a^2-2ab+b^2

a^2-b^2

GCF with Variables

100

Find the GCF 

12y

13b^2

1

200

Find the GCF

20x^2

35x^4

5x^2

300

Find the GCF

18x^3y^8

30y^2x^5

6x^3y^2

400

Find the GCF

40c^6m^8z^11

c^10m^2z^9n^5

c^6m^2z^9

500

Find the GCF

6x^3y^8z^100v^23

11x^4y^64z^33v^109

x^3y^6z^33v^23

Solving Factored Polynomials

100

Solve

(z-13)(z-14)=0

z=13, z=14

200

Solve

(2n-14)(3n+9)=0

n=7, n=-3

300

Solve

b^2+6b=0

b=0, b=-6

400

Solve 

3k^2=6k

k=0, k=2

500

Solve

-12p^2=-30p

p=0, p=2.5