MathNet 2022-part-04 — 197 problems (EN–VI) Question 53

Suppose $a, b, c$ are the roots of the polynomial $x^{3} + 2x^{2} + 2$. Let $f$ be the unique monic polynomial whose roots are $a^{2}, b^{2}, c^{2}$. Find $f(1)$.

(a) -17
(b) -16
(c) -15
(d) -14