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Omni-MATH / Find a nonzero monic polynomial P(x) with integer coefficients and minimal degree such that P(1−root[3](2)+root[3](4))=0. (A polynomial is called monic if its leading coefficient i…

Problem

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problem

Find a nonzero monic polynomial P(x)P(x) with integer coefficients and minimal degree such that P(1−23+43)=0P(1-\sqrt[3]{2}+\sqrt[3]{4})=0. (A polynomial is called monic if its leading coefficient is 1.)
Plain-text mathematical notation (without MathML)
Find a nonzero monic polynomial P(x) with integer coefficients and minimal degree such that P(1−root[3](2)+root[3](4))=0. (A polynomial is called monic if its leading coefficient is 1.)
Original LaTeX notation
Find a nonzero monic polynomial $P(x)$ with integer coefficients and minimal degree such that $P(1-\sqrt[3]{2}+\sqrt[3]{4})=0$. (A polynomial is called monic if its leading coefficient is 1.)

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Source and history

task_id
d9e9385a-60e6-523b-ba03-763d7f01b33c
task_key
test--d9e9385a-60e6-523b-ba03-763d7f01b33c
task_revision_id
1
config / split
/ test

Official source

initial import