Question

Factor x^3 + 3x^2 + 2x completely. x(x2 + 3x + 2) x(x + 1)(x + 2) x(x – 1)(x – 2)

Answer 1

Polynomial Factorization

x³ ➕ 3x² ➕ 2x

Find a factor

x(x² ➕ 3x ➕ 2)

Factor by grouping

x(x² ➕ 3x ➕ 2x ➕ 2)

x (x(x ➕ 1) ➕ 2(x ➕ 1)

✔ x(x ➕ 1)(x + 2)

The answer to the exercise x^3 + 3x^2 + 2x is the second option.