Ch. 7 Polynomials Review

Adding & Subtracting Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

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

4a + 3

300

Subtract the polynomials:

(-x² - 5) - (-3x² - x - 8)

2x² + x + 3

400

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

500

Subtract the Polynomials:

(k² + 6k³ - 4) - (5k³ + 7k - 3k²)

k³ + 4k² - 7k - 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 - 3)²

4m² - 12m + 9

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 out the Greatest Common Factor (GCF):

5a³ + 2a²

a²(5a + 2)

200

Factor out the Greatest Common Factor (GCF):

30x² - 42x

6x(5x - 7)

300

Factor:

x² - 81

(x + 9)(x - 9)

400

Factor:

p² - 100

(p + 10)(p - 10)

500

Factor out the Greatest Common Factor (GCF):

18n⁴ + 42n² + 6n

6n(3n³ + 7n + 1)

Factoring

100

Factor:

p² + 12p + 35

(p + 5)(p + 7)

200

Factor:

z² - 4z - 21

(z + 3)(z - 7)

300

Factor:

3x² - 7x - 10

(3x - 10)(x + 1)

400

Factor:

5y² - 22y + 8

(5y - 2)(y - 4)

500

Factor:

6x² + 5x - 4

(2x - 1)(3x + 4)

More Factoring

100

Fully Factor: 

6x² + 19x + 10

(2x + 5)(3x + 2)

200

Fully Factor: 

12x³ + 39x² - 36x

3x(4x - 3)(x + 4)

300

Fully Factor: 

2x² + 10x + 12

2(x + 3)(x +2)

400

Fully Factor: 

4x⁴ - 12x³ + 8x²

4x²(x - 2)(x - 1)

500

Fully Factor: 

4x² - 8xy - 140y²

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