5
AssignmentMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes

Question 5 • Common Core Algebra I B-IC

What is the factored form of x3 + 125?

Answer
A
(x3 + 5)(x6 – 5x3 + 25)
B
(x3 – 5)(x6 + 5x3 + 25)
C
(x + 5)(x2 – 5x + 25)
D
(x – 5)(x2 + 5x + 25)

Explanation

Recognize x³ + 125 as a sum of cubes: x³ + 5³. Use the identity a³ + b³ = (a + b)(a² − ab + b²). Substituting a = x and b = 5 gives (x + 5)(x² − 5x + 25), which is choice C.

AI-written and checked against the verified answer.

Previous
Next