Polynomial Operations and Factoring

Refresher Operations and Factoring

ADDITION AND SUBTRACTION

Multiple Choice

Find the sum.
(5x² -3x + 4) + (6x -3x² - 3)

• 3x² + 2x + 1
• 2x² + 3x +1
• 2x² + 5x - 7
• 3x² + 4x⁵ -7x

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Refresher: Operations and Factoring

MULTIPLICATION

Multiple Choice

4a(5a² - a + 4)

• 20a³ - 4a² + 16a
• 20a² - 5a + 8a
• 20a² + 4a² + 16a
• 20a³ +3a² + 16a

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Multiple Choice

(2x+3)²

• 2x+3+2x+3
• 4x²+12x+9
• 4x²+9
• 16x²+9

Refresher: Operations and Factoring

FACTORING

Multiple Choice

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Multiple Choice

Factor: x² + 2x – 3

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

Multiple Choice

Factor x² - 121

• (x - 11)(x - 11)

• (x + 11)(x + 11)

• (x + 11)(x - 11)

• (x - 9)(x + 9)

Multiple Choice

16n² - 25

• (16n - 25)(16n + 25)
• (8n - 5)(8n + 5)
• (4n + 5)(4n - 5)
• Not Factorable

Multiple Choice

Factor by GCF:

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)