A Quadratic from a Difference Rule
Difficulty: Medium · Topics: Algebra, Polynomials, Polynomial Identities
Ayirma qoidasidan kvadrat uchhad
P(x) is a polynomial with P(x+1)-P(x)=6x+4 for all x, and P(0)=-1.
Find P(2).
P(x) — ko‘phad, barcha x uchun P(x+1)-P(x)=6x+4, va P(0)=-1.
P(2) ni toping.