Multiply by x³, Then Divide
Difficulty: Medium · Topics: Algebra, Polynomials, Remainder Theorem
x³ ga ko‘paytiring, so‘ng bo‘ling
f(x) leaves remainder 3x-2 when divided by x^2-x+1. Let R(x) be the remainder when x^3f(x) is divided by x^2-x+1.
Find R(2).
f(x) ni x^2-x+1 ga bo‘lganda 3x-2 qoldiq qoladi. R(x) — x^3f(x) ni x^2-x+1 ga bo‘lgandagi qoldiq bo‘lsin.
R(2) ni toping.