Nonzero Polynomial Real Coefficients

2175ExpertPolynomialsAlgebra

Harvard-MIT Mathematics Tournament

A nonzero polynomial $f(x)$ with real coefficients has the property that $f(x) = f'(x) f''(x)$. What is the leading coefficient of $f(x)$?

0 students attempted0% solvedRating 2175

Related practice paths

Create an account to submit answers, save history, and track your rating.

Progressive Hints

Unlock hints one at a time — each reveals a little more without spoiling the solution.

Step-by-Step Solutions1

Multiple solution approaches with detailed walkthroughs, unlocked after you solve the problem.

AI-Powered Grading

Instant feedback on your answer — handles fractions, decimals, and equivalent forms.

Curated problem bank

Supported tracks for AMC, AIME, MATHCOUNTS, and olympiad-style training, plus global problem sources like UKMT, Euclid, and Kangaroo.

2175ExpertPolynomialsAlgebra

Harvard-MIT Mathematics Tournament

A nonzero polynomial $f(x)$ with real coefficients has the property that $f(x) = f'(x) f''(x)$. What is the leading coefficient of $f(x)$?

0 students attempted0% solvedRating 2175