Unit 9 Quiz Review

Adding and Subtracting Polynomials

100

Simplify:

(4m²+ 6m⁴ +8m) + (3m⁴ + m)

9m⁴ + 4m² + 9m

200

Simplify:

(n³ - 2n⁴ - 6n²) - (2n² + n³ + n)

-2n⁴ -8n² -n

300

Simplify:

(6b³ +4b² -8b⁴) - (8 + 5b⁴ +7b³) - (b⁴ +3b²)

-14b⁴ -b³ + b² - 8

400

Simplify:

(8k -7k³ -6k⁴) + (3k⁴ +8k³) 

-3k⁴ +k³ +8k

500

Simplify:

(3r⁴ +5r +5) + (3r² +8r -8r⁴) - (4r + 6)

-5r⁴ +3r² +9r - 1

Multiplying Polynomials

100

Find the product:

2(8n - 4)

16n - 8

200

Find the product:

6n(6n + 1)

36n² + 6n

300

Find the product:

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

6x² + 6x - 12

400

Find the product:

(8k - 2)(k - 4)

8k² - 34k + 8

500

Find the product:

(7b + 1)(5b² + 6b - 6)

35b³ +47b² - 36b - 6

Factoring using a GCF

100

What is the GCF?

-90x³ + 40x

10x

200

Factor using the GCF:

30n + 54

6(5n + 9)

300

Factor using the GCF:

6x⁶ + 18x⁴ - 15x³

3x³(2x³ + 6x - 5)

400

Factoring using the GCF:

60a⁵ - 42a³ + 48a

6a(10a⁴ - 7a² + 8)

500

Factoring using the GCF:

36x³y² + 81xy + 72xy²

9xy(4x²y +9 +8y)

Factoring Trinomials

100

Factor:

r² - 4r - 12

(r - 6)(r + 2)

200

Factor:

x² - 9x + 8

(x - 8)(x - 1)

300

Factor:

x² - 14x + 48

(x - 6)(x - 8)

400

Factor:

m² + 2m - 80

(m + 10)(m - 8)

500

Factor:

a² - 2a - 63

(a - 9)(a + 7)

Mixed Skills

100

Simplify:

(x² - 2 +4x⁴) - (2x⁴ - 4x³ + 2x²)

2x⁴ + 4x³ - x² - 2

200

Find the product:

5(4b + 8)

20b + 40

300

Find the product:

(n + 8)(8n² - 4n + 7)

8n³ +60n² - 25n +56

400

Factor:

p² - p - 2

(p - 2)(p + 1)

500

Factor:

n² - 16

(n - 4)(n + 4)