Intro to Factoring

Factor
k²+7k+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor out the GCF:
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Factor Completely:

10 + 15p

• 5(3+p)

• 5(2+3n)

• 5(2+3p)

• 25p

Mathematical Equivalence

ON

factor:x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime

Factor:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored

Factor:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor:

2n² - 8n³

• 2n(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 2(n² - 4n³)

Factor:

56a³ - 8a

• 8a²(7a² - 8a)

• 8a(7a² - 1)

• a(7a³ - a)

• 8a²(35a² - a)