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  "body": "\n## Summary\n\nThe Mahler measure of a complex polynomial is the absolute value of its leading coefficient times a product over its roots.\nEach root outside the unit circle contributes its absolute value, and the other roots contribute $1$.\nIt is multiplicative and, for integer polynomials, it is at least $1$.\nIt measures the size of a polynomial in a way adapted to its roots.\nSmall Mahler measures of integer polynomials are the subject of [[Lehmer's conjecture|NDRRH2YD2C]].\n\n## Explanations\n\n### L1 human\n\nFactor the polynomial into its leading coefficient and linear factors.\nKeep the leading coefficient and every root of absolute value bigger than $1$, and multiply their absolute values.\nFor $x^2 - 2$, the roots are $\\pm \\sqrt{2}$, so the Mahler measure is $\\sqrt{2} \\cdot \\sqrt{2} = 2$.\nThe [[definition|1PJS951C8N]] states the formula.\n",
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