Big Ideas Math

3.3 Factor Review and 3.4 Intro

Warm-up Questions Day 1

Multiple Choice

Factor Completely:

256x⁴ - 81

• (16x² + 9)(16x² - 9)

• (16x² + 9)(4x + 3)(4x - 3)

• (4x² + 9)(4x² - 9)

• (16x² + 9)(2x + 6)(2x -6)

Multiple Choice

Factor Completely:

343x³ - 27

• (7x² - 3)(7x+3)

• (7x - 3)(7x² + 21x + 9)

• (7x - 3)(49x² - 21x + 9)

• (7x - 3)(49x² + 21x + 9)

Multiple Choice

Factor Completely:

4w⁴ - 7w² + 36

• prime

• (4w² - 9)(w² - 4)

• (2w + 9)(2w - 9)(w + 4)(w - 4)

• (2w + 3)(2w - 3)(w + 3)(w - 2)

Multiple Choice

Factor Completely

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Multiple Choice

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Warm-up Questions Day 2

Multiple Choice

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Multiple Choice

Factor completely:
2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)
• (2x - 5)(x² + 4)
• (2x² - 4)(x + 5)
• (x - 2)(x + 2)(2x + 5)

Multiple Choice

Factor completely:

x³ + 7x² - 4x - 28

• (x + 2)(x - 2)(x + 7)

• (x + 4)(x - 4)(x + 7)

• (x + 2)(x - 2)(x - 7)

• (x² - 4)(x + 7)

Multiple Choice

factor completely

81m⁴ - 1

• prime

• (9m² + 1)(3m + 1)(3m - 1)

• (9m² + 1)(3m + 1)²

• (9m² - 1)(9m² + 1)

Multiple Choice

Factor Completely: 16q³ - 48q² + 36q

• 4q(2q - 3)²

• 4q(2q + 3)²

• 4(4q³ - 12q² + 9q)

• 4q(2q - 3)(2q + 3)

Multiple Choice

Factor Completely: x²-17x+72

• (x - 9)(x + 8)

• (x - 9)(x - 8)

• x(x - 3)

• (x + 9)(x + 8)

3-4 Solve Using Factoring!

Multiple Choice

• -3, 4
• 3, 4
• -4, -3
• -3

Multiple Choice

• -4, 2
• -2, 4
• -16
• -4

Multiple Choice

• ±23.25
• ±5
• ±25
• No real solution

Multiple Choice

• ±√9
• ±3
• ±1
• No real solution

3-5 Solve Using Quadratic Formula!

Multiple Choice

What is this formula?

• This is the standard formula.

• This is the quadratic formula.

• This is the square root formula.

• This is the Pythagorean formula

Multiple Choice

Solve using the quadratic formula...

9x² = 4 + 7x

• No solution

Multiple Choice

Solve 2x² + 7x - 15 = 0

• -3/2 or 5

• No Solution

• -5 or 3/2

• 0.7 or 5

Multiple Choice

Use the quadratic formula to find the solutions for

0 = -x² - 5x + 12

• No Real Solution

Multiple Choice

Use the quadratic formula to solve 2x² + 2x - 12 = 0.

• -2, 3

• 2, 3

• 2, -3

• -2, -3

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