Analytical Algebra 2 Chapter 6

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

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

Simplify each expression. 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x
• 16x⁴  + x² + 14x
• 11x⁴  + x² + 14x
• 11x⁴  + 2x² + 10x

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 
• x + 2
• 2x² + x - 10 
• x - 10 

Find the product

2x³(x²−2x − 3)

• 2x⁶- 4x³ - 6x³

• 2x⁵−4x⁴ − 6x³

• -2x⁵−4x⁴ − 6x³

• -2x⁶−4x³ − 6x³

Multiply.
(3x - 5)(4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15
• 12x³ - 20x² - 5x + 15
• 12x³ - 20x² - 6x + 15
• 12x³ - 26x² + x + 15

Use Pascal's triangle to expand each binomial expand (x + 1)⁵

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Factor

3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)