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MATH / If A and B are numbers such that the polynomial x²⁰¹⁷+Ax+B is divisible by (x+1)², what is the value of B?

Problem

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problem

If AA and BB are numbers such that the polynomial x2017+Ax+Bx^{2017} + Ax + B is divisible by (x+1)2(x + 1)^2, what is the value of BB?
Plain-text mathematical notation (without MathML)
If A and B are numbers such that the polynomial x²⁰¹⁷+Ax+B is divisible by (x+1)², what is the value of B?
Original LaTeX notation
If $A$ and $B$ are numbers such that the polynomial $x^{2017} + Ax + B$ is divisible by $(x + 1)^2$, what is the value of $B$?

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
e12b8cf7-438d-5e74-a660-786470798918
task_key
intermediate~5falgebra--test--e12b8cf7-438d-5e74-a660-786470798918
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import