Semester Final Review

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)
• (x - 5) (x - 3)
• (x + 15) (x - 1)
• (x - 7) (x - 8)

Factor:
x² + 6x + 20

• (x + 4)(x + 5)
• (x + 20)(x + 1)
• (x + 10)(x + 2)
• PRIME

Factor
x² - 4x - 32

• (x + 4)(x + 8)
• (x - 4)(x + 8)
• (x + 4)(x - 8)
• (x -2)(x + 3)

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)
• (2x + 9)(x + 5)
• (2x - 5)(x - 9)
• (2x - 5)(x + 9)

Factor completely:
 3x² + 5x - 12

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

 (x − y) ³ 

• x³ − 3x² y + 3xy² − y³
• 16m ⁴ − 32m ³ + 24m ² − 8m + 1 

Tags

CCSS.HSA.APR.C.5

Expand:
 (x - 2y)³

• x³ - 8y³
• x² - 4xy + 4y²
• x³ + 6x²y + 12xy² + 8y³
• x³ - 6x²y + 12xy² - 8y³

Tags

CCSS.HSA.APR.C.5

Add to Simplify:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5
• 3x³ + 8x + 5
• 3x² + 5
• 7x³ + 8x + 5

Tags

CCSS.HSA.APR.A.1

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 20a - 7 
• 5a³ - 9a² - 20a - 7

Tags

CCSS.HSA.APR.A.1

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

• 1
• 2
• 3
• 4