Unit 7 Polynomials Review

Adding Polynomials

100

Add the Polynomials

(2x² + 3x - 4) +(x² - 2x + 5)

3x² + x +1

200

Add the polynomials:

(3y³ - 2y² + y) + (5y³ + 4y² - 3y)

8y³ + 2y² - 2y

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x(2x - 5)

6x² - 15x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Special Factoring (GCF/Difference of 2 squares)

100

Factor by looking for a common factor:

30x-42

6(5x-7)

200

Factor by looking for a common factor:

5a³+2a²

a²(5a+2)

300

Factor:

x² - 81

(x + 9)(x - 9)

400

Factor:

p² - 100

(p + 10)(p - 10)

500

Factor by looking for a common factor:

18n⁴+42np+6n

6n(3n³+7p+1)

Factoring Trinomials (X Game)

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

w² -14x -72

(w - 18) (w + 4)

400

Factor:

x² - 48x + 176

(x - 4)(x - 44)

500

Factor:

x² - 32x - 144

(x-36)(x+4)

Completely Factoring

100

Factor Completely: 

2x²+16x+30

2(x+5)(x+3)

200

Factor Completely: 

2x² - 512

2(x+ 16)(x - 16)

300

Factor Completely: 

-5t² - 20t - 20

-5 (t+2)(t+2)

400

Factor Completely:

6x² - 600

6(x+10)(x-10)

500

Factor Completely: 

12x³+12x²+3x

3x(2x+1)(2x+1)