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MATH / Find the cubic polynomial, in x, with integer coefficients that has cos20^(∘) as a root. The coefficient of x³ should be positive, and the coefficients should have no common factor…

Problem

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problem

Find the cubic polynomial, in x,x, with integer coefficients that has cos20∘\cos 20^\circ as a root. The coefficient of x3x^3 should be positive, and the coefficients should have no common factor other than 1.
Plain-text mathematical notation (without MathML)
Find the cubic polynomial, in x, with integer coefficients that has cos20^(∘) as a root.  The coefficient of x³ should be positive, and the coefficients should have no common factor other than 1.
Original LaTeX notation
Find the cubic polynomial, in $x,$ with integer coefficients that has $\cos 20^\circ$ as a root.  The coefficient of $x^3$ should be positive, and the coefficients should have no common factor other than 1.

level

Level 5

type

Precalculus

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Source and history

task_id
0469b0c1-9b32-53ca-9520-e0fef9ef1ce4
task_key
precalculus--test--0469b0c1-9b32-53ca-9520-e0fef9ef1ce4
task_revision_id
1
config / split
precalculus / test

Official source

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