Question 98
Determine all functions $f: \mathbb{R} \to \mathbb{R}$ such that, for all real numbers $x$ and $y$,
$$
f(x^2 + xy) = f(x)f(y) + yf(x) + xf(x + y).
$$
$$
f(x^2 + xy) = f(x)f(y) + yf(x) + xf(x + y).
$$
MathNet 2018-part-02 — 181 problems (EN–VI) Question 98
Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)