Unit 8 Review

Adding/Subtracting

100

(x^2+4x) + (2x^2+6)

What is 

3x^2+4x+6

200

(y^3-10y)-(y^2+3y)

What is 

y^3-y^2-13y

300

(47t^3+12t-73t^2)+(13t-7t+7t^2)

What is 

47t^3+80t^2+15t

400

(ab-2ab^2+7a^2b-34)-(2ab-7a^2b+34)

What is 

14a^2b-2ab^2-ab

500

(99w^2+102b-63m^5)-(102b-63m^5+99w^2)

What is 

0

Multiplying Polynomials

100

4x(3x+2)

What is 

12x^2+8x

200

7m^4(2m-6m^2+13)

What is 

-42m^6+14m^5+91m^4

300

(2r-3)(12r+5)

What is 

24r^2-26r-15

400

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

What is 

4t^4-17t^3+17t^2-40t

500

(2y^4-3y)(2y^4-3y+1)

What is 

4y^8-12y^5+2y^4+9y^2-3y

Factoring Polynomials

100

4g^2+12g

What is 

4g(g+3)

200

15ab-35a

What is 

5a(b-7)

300

45d^2+27d^3-18d

What is 

9d(5d+3d^2-2)

400

42x^2y-28xy^2+7xy

What is 

7xy(6x-4y+1)

500

7p^3t-2p^5+10p^4-3p^3

What is 

p^3(7t-2p^2+10p-3)

Factoring x^2 + bx + c

100

x^2+5x+6

What is 

(x+2)(x+3)

200

a^2+4a-12

What is 

(a+6)(a-2)

300

g^2-11g+24

What is 

(g-8)(g-3)

400

y^2-3y-108

What is 

(y+9)(y-12)

500

p^2-p-132

What is 

(p-12)(p+11)

Factoring ax^2 + bx + c

100

2a^2+10+12

What is 

(2a+4)(a+3)

200

5k^2+27k-18

What is 

(5k+3)(k-6)

300

8b^2-26b+21

What is 

(2b-3)(4b-7)

400

24y^2+12y-35

What is 

(4y+7)(6y-5)

500

99r^2-71r+12

What is 

(9r-4)(11r-3)

Factoring Special Cases

100

x^2+8x+16

What is 

(x+4)^2

200

y^2-10y+25

What is 

(y-5)^2

300

x^2-81

What is 

(x-9)(x+9)

400

4t^2-28t+49

What is 

(2t-7)^2

500

a^2-b^2

What is 

(a+b)(a-b)

Factoring by Grouping

100

x^3+7x^2+4x+28

What is 

(x^2+4)(x+7)

200

y^3+8y^2-4y-32

What is 

(y^2-4)(y+8)

300

2b^3-9b^2-5b+45

What is 

(2b^2-5)(b-9)

400

21a^3+14a^2+30a+20

What is 

(7a^2+10)(3a+2)

500

55t^3-33t^2-40t+24

What is 

(11t^2-8)(5t-3)