Answer:
f(x) = x^3 -2x^2 +5x +26
Step-by-step explanation:
When p is a root, (x -p) is a factor.
If the polynomial has real coefficients, its complex roots come in conjugate pairs. Then the linear factorization for the given roots is ...
f(x) = (x +2)(x -2-3i)(x -2+3i) = (x +2)(x^2 -4x +13)
f(x) = x^3 -2x^2 +5x +26