Polynomial Operations and Factoring Polynomials

Factor completely. Always look for a GCF first! 
3a² + 4a + 1

• (7a - 10)(a - 8)
• Not factorable
• (3a + 1)(a + 1)
• (3a - 1)(a - 1)

Factor completely. Always look for a GCF first!
2x² + 6x - 56

• 2(x - 7)(x + 4)
• 2(x + 7)(x - 4)
• (2x + 14)(x - 4)
• (x + 7)(2x - 8)

Factor completely. Always look for a GCF first! 
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)(2m - 3)
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)

Factor completely. Always look for a GCF first! 
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Factor completely. Always look for a GCF first! 
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

What do you call a polynomial that cannot be factored?

• FOIL
• Simplified
• Prime
• Proper

Factor completely. Always look for a GCF first! 
3x² + 18x +15

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

Factor by finding a GCF:
24c⁵ - 12c³

• 6(4c⁵ - 2c³)
• 12c³(2c²)
• 12c³(2c² - 1)
• 6c³(4c² - 2)

Classify the following polynomial

• quartic polynomial
• quadratic polynomial
• quartic trinomial
• quadratic trinomial

Factor by grouping:
 x³ + 7x² - 2x - 14

• (x² - 2)(x - 7)
• (x² + 2)(x - 7)
• (x² + 2)(x + 7)
• (x² - 2)(x + 7)