Question

Factor completely
2c^3-22c^2+48c

Answer 1

2c(c - 3)(c - 8)

Explanation:

Hello!

Factor:

• 2c³ - 22c² + 48c
• 2c(c² - 11c + 24)

Think: What two numbers multiply to 24, and add up to -11?

Answer: -8 and -3

Split up the -11c into -8c and -3c:

• 2c(c² - 8c - 3c + 24) (factor each pair)
• 2c( c(c - 8) - 3(c - 8))
• 2c(c - 3)(c - 8)