Question

f(x) = 2x^3 - 5x^2 + px -5 = 0. I've found the roots: 1+2i and 1-2i. How do I solve the equation? Do I simply use the formula to find the quadratic? (x-(1-2i))(x-(1+2i))?

Answer 1

I found the quadratic to be:
\[x ^{2}-2x+5\]
What do I do from here?

Answer 2

missing a root, x^3 means it will have 3 roots

Answer 3

how did you find the roots with 2 unknowns?

Answer 4

given the eqn factor then find what value of p makes the eqn true