Find the equation whose roots are
3 times the roots of `x^3 +2x^2 -4x +1=0`

Answer

To find the equation whose roots are three times the roots of the polynomial \( x^3 + 2x^2 - 4x + 1 = 0 \), we will follow these steps:

### Step 1: Identify the coefficients of the original polynomial
The given polynomial is:
\[ x^3 + 2x^2 - 4x + 1 = 0 \]
Here, we can identify the coefficients:
- \( a = 1 \)
- \( b = 2 \)
- \( c = -4 \)
- \( d = 1 \)