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Does This Radical Problem Fit the Common Core Standards?

Find the cube root of 1 - 6x + 21x2 – 56x3 + 111x4 – 174x5 + 219x6 – 204x7 + 144x8 – 64x9.

Solution:

Source: John Colenso’s The Elements of Algebra Designed for the Use of Schools, 1849.