Algebra Polynomial Identities

16x²  -56x + 49

• (4x + 7)²
• (4x - 7)²
• (8x + 7)²
• Not a Perfect Square Trinomial

Fully Factor the Following

16x²+25

• (4x+5)(4x-5)

• (4x-5)(4x+5)

• (4x +5i)(4x - 5i)

• (4x+5)²

9x² - 49y²

• ( 3x + 7y) (3x + 7y)

• ( 3x - 7y) (3x + 7y)

• ( 3x - 7y²) (3x - 7y²)

• (3x - 7y)(3x + 21xy +7y²)

Factor

4x² + 64

• 4(x² + 16)

• 4(x - 4)(x + 4)

• 4(x² + 8)

• 4(x + 4i)(x -4i)

Factor: 8x³ - 1

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

Factor Completely 4x² - 64y²

• ( 2x - 8y) (2 x + 8y)

• 4( x + 4iy) (x - 4iy)

• ( 2x - 8y) (2 x - 8y)

• 4(x + 4y)(x - 4y)

What technique should you use to factor 27a³-729?

• GCF

• Diff of Two Squares

• Diff of Two Cubes

• GCF & Diff of Two Cubes

Factor completely:

2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

Calculate (multiply):
 (4 + 3i)(4 − 3i)

• 16 − 9i²
• 25
• 7
• 8 − 6i

What factoring technique is used to factor
4n² − 49?

• Trinomials
• Difference of Squares
• Difference or sum of Cubes
• Factor by grouping