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Popular >

x^3-4x^2<-x-6

Solution

x^{3} - 4 x^{2} < - x - 6

Solution

x < - 1 or 2 < x < 3

+1

Interval Notation

(- \infty, - 1) \cup (2, 3)

Solution steps

x^{3} - 4 x^{2} < - x - 6

Rewrite in standard form

x^{3} - 4 x^{2} + 6 + x < 0

Factor

x^{3} - 4 x^{2} + 6 + x : (x + 1) (x - 2) (x - 3)

(x + 1) (x - 2) (x - 3) < 0

Identify the intervals

x < - 1 or 2 < x < 3

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Frequently Asked Questions (FAQ)

What is x^3-4x^2<-x-6 ?
The solution to x^3-4x^2<-x-6 is x<-1\lor 2<x<3