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Counting Polynomials with Digit Coefficients

1550AdeptPolynomialsCombinatoricsCounting Principles

AMC 12B · 2018 · Problem 22

Consider polynomials $P(x)$ of degree at most $3$, each of whose coefficients is an element of $\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$. How many such polynomials satisfy $P(-1) = -9$?

Answer choices

A
110
B
143
C
165
D
220
E
286
0 students attempted0% solvedRating 1550

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