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Omni-MATH / Suppose that a,b and c are integers with (x−a)(x−6)+3=(x+b)(x+c) for all real numbers x. What is the sum of all possible values of b?

Problem

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problem

Suppose that a,ba, b and cc are integers with (x−a)(x−6)+3=(x+b)(x+c)(x-a)(x-6)+3=(x+b)(x+c) for all real numbers xx. What is the sum of all possible values of bb?
Plain-text mathematical notation (without MathML)
Suppose that a,b and c are integers with (x−a)(x−6)+3=(x+b)(x+c) for all real numbers x. What is the sum of all possible values of b?
Original LaTeX notation
Suppose that $a, b$ and $c$ are integers with $(x-a)(x-6)+3=(x+b)(x+c)$ for all real numbers $x$. What is the sum of all possible values of $b$?

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Source and history

task_id
9bc81900-7b0b-58d3-a2b5-106bf9c6de3c
task_key
test--9bc81900-7b0b-58d3-a2b5-106bf9c6de3c
task_revision_id
1
config / split
/ test

Official source

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