Approximate the real number solution(s) to the polynomial function f(x) = x³ + 4x² + x - 6.

Solution:

Let us take x = 3,

3³ - (4 × 3²) + 3 + 6 = 0

Let us take x = -1,

-1³ - (4 × (-1)²) + (-1) + 6 = 0

Let us take x = 2,

2³ - (4 × 2²) + 2 + 6 = 0

Therefore, the real number solution(s) are 3, -1, 2.

Approximate the real number solution(s) to the polynomial function f(x) = x³ + 4x² + x - 6.

Summary:

The real number solution(s) to the polynomial function f(x) = x³ + 4x² + x - 6 are 3, -1, 2.