9514 1404 393
Answer:
f(x) = x³ -7x² -4x +78
Step-by-step explanation:
The complex zeros come in conjugate pairs. Each zero (p) gives rise to a factor of the form (x -p). The polynomial is ...
f(x) = (x -(-3))(x -(5+i))(x -(5-i)) = (x +3)((x -5)² -i²)
= (x +3)(x² -10x +25 +1) = (x³ -10x² +26x) +(3x² -30x +78)
f(x) = x³ -7x² -4x +78
