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Omni-MATH / Let P(x) be a polynomial whose coefficients are all either 0 or 1. Suppose that P(x) can be written as a product of two nonconstant polynomials with integer coefficients. Does it f…

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problem

Let P(x)P(x) be a polynomial whose coefficients are all either 00 or 11. Suppose that P(x)P(x) can be written as a product of two nonconstant polynomials with integer coefficients. Does it follow that P(2)P(2) is a composite integer?
Plain-text mathematical notation (without MathML)
Let P(x) be a polynomial whose coefficients are all either 0 or 1. Suppose that P(x) can be written as a product of two nonconstant polynomials with integer coefficients. Does it follow that P(2) is a composite integer?
Original LaTeX notation
Let $P(x)$ be a polynomial whose coefficients are all either $0$ or $1$. Suppose that $P(x)$ can be written as a product of two nonconstant polynomials with integer coefficients. Does it follow that $P(2)$ is a composite integer?

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Source and history

task_id
faa15e35-1a99-5b2a-b386-825b8def664b
task_key
test--faa15e35-1a99-5b2a-b386-825b8def664b
task_revision_id
1
config / split
/ test

Official source

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