Combine Two Remainders
Difficulty: Easy · Topics: Algebra, Polynomials, Remainder Theorem
Ikki qoldiqni birlashtiring
When P(x) is divided by x-2 the remainder is 7, and when it is divided by x+3 the remainder is -3.
Let R(x) be the remainder when P(x) is divided by (x-2)(x+3). Find R(4).
P(x) ni x-2 ga bo‘lganda qoldiq 7, x+3 ga bo‘lganda esa qoldiq -3 bo‘ladi.
R(x) — P(x) ni (x-2)(x+3) ga bo‘lgandagi qoldiq bo‘lsin. R(4) ni toping.