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A Cubic from Two Root Limits

Difficulty: Medium · Topics: Calculus, Limits, Polynomials

Ikki ildiz limitidan kub ko‘phad

P(x) is a polynomial with degree 3 and satisfies the following:

lim x→ -1(P(x))/(x+1)=15, lim x→ 2(P(x))/(x-2)=12.

Find P(3).

P(x) — 3-darajali ko‘phad va quyidagilarni qanoatlantiradi:

lim x→ -1(P(x))/(x+1)=15, lim x→ 2(P(x))/(x-2)=12.

P(3) ni toping.