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Omni-MATH / When (3+2x+x²)(1+mx+m²x²) is expanded and fully simplified, the coefficient of x² is equal to 1. What is the sum of all possible values of m?

Problem

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problem

When (3+2x+x2)(1+mx+m2x2)(3 + 2x + x^{2})(1 + mx + m^{2}x^{2}) is expanded and fully simplified, the coefficient of x2x^{2} is equal to 1. What is the sum of all possible values of mm?
Plain-text mathematical notation (without MathML)
When (3+2x+x²)(1+mx+m²x²) is expanded and fully simplified, the coefficient of x² is equal to 1. What is the sum of all possible values of m?
Original LaTeX notation
When $(3 + 2x + x^{2})(1 + mx + m^{2}x^{2})$ is expanded and fully simplified, the coefficient of $x^{2}$ is equal to 1. What is the sum of all possible values of $m$?

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Source and history

task_id
5b597f6f-8f26-5769-9e20-023b6b125167
task_key
test--5b597f6f-8f26-5769-9e20-023b6b125167
task_revision_id
1
config / split
/ test

Official source

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