Unit 7 Polynomials Review

Adding or Subtracting Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

500

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

Multiplying or Dividing Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Divide the Polynomials

(-5x^2y^3z^4)/(15x^4y^2z^4)

-y/(3x^2)

400

Divide the Polynomials

(14x^6y^3-49x^5y^9)/(-7x^4y)

-2x^2y^2+7xy^8

500

Divide the Polynomials

(27n^4-9n^3+63n^2)/(9n)

3n^3-n^2+7n

Factoring with GCF

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor out the GCF

12ab^3+20b

4b(3ab^2+5)

400

Factor out the GCF

10x^3y^2-2xy^2+14xy

2xy(5x^2y-y+7)

500

Factor out the GCF

18n⁴+42nm+6n

6n(3n^3+7m+1)

Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

x^2+3x-70

(x+10)(x-7)

400

x^2-10x-39

(x-13)(x+3)

500

m^2-8m+7

(m-7)(m-1)

Difference of squares

100

x^2-36

(x+6)(x-6)

200

16m^2-p^2

(4m-p)(4m+p)

300

9v^4-100

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

400

7n^2-7

7(n-1)(n+1)

500

4r^2-144

4(r-6)(r+6)

Factoring by "grouping"

100

3x^2-11x+10

(x-2)(3x-5)

200

9m^2+3m-2

(3m+2)(3m-1)

300

x^3+x^2+2x+2

(x^2+2)(x+1)

400

x^3+4x^2+2x+8

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

500

9x^2-3xy+6x-2y

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

Boles

100

Who makes my coffee at Wawa everyday?

Maddie

200

How old am in 57 years?

81

300

Why is a duck my favorite animal?

They:

-Fly

-Swim

-Quack

400

What is my favorite quote for The Outsiders?

"Nothing gold can stay"

500

What unique pet do I own? 

Chickens