How do you factor #4x^3 - x^2 + 4x -1#?

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How do you factor #4x^3 - x^2 + 4x -1#?

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Answer 1 · 2015-05-28T15:12:30

We can make groups of two to factorise this expression:
#(4x^3 +4x) - (x^2+1)#
#4x# is common to both the terms in the first group.
We can write the expression as :
#4x(x^2 +1) - 1(x^2+1)#
#=color(blue)((4x-1)(x^2+1)#

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How do you factor #4x^3 - x^2 + 4x -1#?

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