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2025 AMC 10A Problem 7

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2025 AMC 10A Problem 7AMC 10 Step by Step
Name:                             Date: September 13, 2026
Polynomials · difficulty 2 of 5 · about 2 min · position P1-10

Suppose aa and bb are real numbers. When the polynomial x3+x2+ax+bx^3+x^2+ax+b is divided by x−1x-1 , the remainder is 44 . When the polynomial is divided by x−2x-2 , the remainder is 66 . What is b−ab-a ?

  1. A)

    1414

  2. B)

    1515

  3. C)

    1616

  4. D)

    1717

  5. E)

    1818

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