Simplifying & Factoring Polynomials

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Factor Completely: 
3x² + 18x +15

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

x⁴ - 4x² - 45

• (x² - 5)(x - 3)(x + 3)
• (x² + 45)(x + 1)(x - 1)
• (x² + 5)(x - 3)(x + 3)
• (x² + 3)(x - 5)(x + 3)

x⁴ - 48x² - 49

• (x² - 7)(x - 7)(x + 1)
• (x² + 49)(x² + 1)
• (x - 7)(x - 7)(x² + 1)
• (x + 7)(x - 7)(x² + 1)

• x⁴(x² - 5x - 24)
• (x - 8)(x + 3)
• x⁴(x - 8)(x + 3)
• (x³ - 8)(x³ +3)

8r³ - 16r²

• 4r²(2r - 4)

• 8r²(r - 2)

• 8(r³ - r²)

• 4(r³ - 2r²)