Question

One of the factors of x³ - 27 is x - 3. What is the other factor?

Answer 1

Answer:

We know that, a³ - b³ = (a - b)(a² + ab + b²)

Now,

• x³ - 27
• (x)³ - (3)³
• (x - 3)(x² + 3x + 9)

Therefore,

• (x² + 3x + 9) is the other factor.