Factoring Polynomials

Factor:
x² - 49

• (x + 7)(x - 7)
• (x + 7)²
• (x - 7)²
• (x+7)(x-1)

Factor:
x² + 7x - 30

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

Factor:
a² - a - 12

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

Factor:
2n² + 16n + 12

• 2n(n² + 24n + 6)
• 2(n² + 8n + 6)
• 2n(n² + 8n + 6)
• 3(n² + 8n + 6)

Factor:
80x⁵ - 70x² - 60x⁷

• 2x²(80x³ - 70 - 60x⁶)
• 10x²(80x⁴ - 70x - 60x⁶)
• 10x²(8x³ - 7 - 6x⁶)
• 3x²(80x³ - 40 - 60x⁵)

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

What is the GCF?
5x² + 20x

• 5
• x
• 5x
• 20x

Factor by using GCF:
10x² + 15x-5

• 25(10x³ + 45x - 15)
• 5(2x³ + 3x² - x)
• x(10x³ + 15x - 5)
• 5(2x² + 3x - 1)

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

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

Factor:
2v³ - 6v² - 3v + 9

• (2v² - 3)(v + 3)
• (2v² - 3)(v - 3)
• (v - 3)(2v² + 3)
• (2v² + 3)²