Unit 2Polynomials Review

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add/subtract the polynomials:

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

-10a -7

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

add/subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x²+x+3 

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

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

Common Factors/ Special Products

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 a = 1

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

y² +25y - 26

(y + 26)(y - 1)

400

Factor:

x² -10x + 24

(x - 6)(x - 4)

500

Factor:

n² - n - 20

(n - 5)(n + 4)

Factoring a≠1

100

Factor
3p²-2p-5

(3p-5)(p+1)

200

Factor
2p²+11p+5

(2p+1)(p+5)

300

Factor

15x² - 27x - 6

3(5n + 1)(n − 2)

400

 Factor: −6a² − 25a − 25

−(2a + 5)(3a + 5)

500

Factor: 3x² - x - 5

prime