Skip to content / Đến nội dung
ThichHocToan.com

2025 AMC 10A Question 7

AMC10 · 2025 AMC 10A

Question 7

Suppose $a$ and $b$ are real numbers. When the polynomial $x^3 + x^2 + ax + b$ is divided by $x - 1,$ the remainder is $4.$ When the polynomial is divided by $x - 2,$ the remainder is $6.$ What is $b - a?$
  1. $14$
  2. $15$
  3. $16$
  4. $17$
  5. $18$