Unit 16 Polynomials Part 1 Review

Adding 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

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:

3x² (2x⁴)

6x⁶

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

Factoring Binomials

100

Factor

5a³b³ + 2a²b⁴

a²b³(5a + 2b)

200

Factor:

x³ + 125

(x + 5)(x² - 10x + 25)

300

Factor:

4p² - 256

4(p+8)(p-8)

400

Factor:

16x³ - 54

2(2x - 3)(4x² + 6x + 9)

500

Factor

3m⁴ - 48

3(m² + 4)(m - 2)(m + 2)

Factoring Trinomials

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

5y² - 30y + 40

5(y-2)(y-4)

300

Factor:

p² - 31p + 108

(p-4)(p-27)

400

Factor:

18y² - 24y + 8

2(3y - 2)(3y - 2)

500

Factor:

6k ² - 11k - 10

(3k + 2)(2k - 5)

Four Terms & Dividing

100

Factor

x³ + 3x² + 8x + 24

(x² + 8)(x + 3)

200

Factor

5a² + 10ab - 3a - 6b

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

300

Divide.

( 3x³ + 5x² - 5x + 1)/(3x - 1)

x² + 2x - 1

400

Divide and give your answer in remainder form.

(5y² - 7y - 4) / (y - 2)

(5y + 3 )+ 2/(y-2)

500

Divide and write your answer in factored form.

(3x³ + 8x² - 35) / (x² - 2)

3x³+8x²-35=(x² - 2)(3x+8)+6x-19