A degree four polynomial will have the form (x^4 +... x + c), where c is a constant. You will need to generate an equation that has the above form, using c=12. Solve for the roots [i & (1+i)].
1 answer
The equation would be:
x^4 + ax^3 + bx^2 + cx + 12 = 0
To solve for the coefficients a, b, and c, you can use the following equations: